Math
posted by Me .
Find the principle, given r=3% and t=3/4 years, a=2556.25

What does a represent?

PRINCIPAL , not principle (they sound the same but are very different)
Now you do not say but I suppose you are doing continuous compounding for 0.75 years at 3% ????
If so
A = P e^(rt)
here A = 2556.25
r = 0.03
t = 0.75
2556.25 = P e^(.0225)
2556.25 = P * 1.02276 
LCM 26, 6

44,5