Yes, I think this is a variety of a prayer plant.
I do not think your plant is dying, not at all...
you were right to repot it, as these plants like to be repotted every spring
with fresh soil. The best soil is a mix of 2 parts peat moss, 1 part loam & 1 part perlite or coarse sand
. This mix will help the plant retain water.
(I will say my prayer plant, that is a differnt variety than yours, is in Miracle Grow potting soil and it seems to like it just fine.)
Try to keep your plant at a temperature below 65*F or if temps are higher than that keep up the humidity around this plant by misting it or by placing the pot on a tray of water with pebbles in it (the pebbles hold the pot up out of the water, so the water is not sucked up into the pot.) ..you could just set a tray of water right next to the pot as well.
most of the year keep the soil moist in the pot, but in the winter let the soil dry out to about half way down between waterings. This will let the plant go dormant for a while.
lastly it likes medium light just away from a South facing window. OR you can plazce it right in front of a east or south facing window but it cannot have direct light.---I have a heat/light filtering film on my west facing glass door, have the pot just to the side of it, & it likes it there just fine.
The brown tips I saw, could be because of too much sun, or too hot & stuffy of a room...try some Humidity or a cooler room as well.
In new members is a post stating how to post photos here---(although I saw your photo just fine) //www.agardenersforum.com/forum/ubbthreads.php/topics/297514/Posting_photos.html#Post297514 Most of us use Photobucket--it is free to use
Good luck & keep us posted.