Final answer:
The value of x in the proportion 2 and one-forth over x = 1 and a half over 3 and three fifths is 3 and one-third.
Step-by-step explanation:
The value of x in the proportion 2 and one-fourth over x = 1 and a half over 3 and three fifths can be found by setting up the proportion and solving for x.
First, cross-multiply: (2 + 1/4)x = (1 + 1/2)(3 + 3/5).
Simplify both sides: (9/4)x = (5/2) x (18/5).
Divide both sides by (9/4) to isolate x: x = (5/2) x (18/5) /(9/4).
Simplify to get the value of x: x = 10/3 = 3 and one-third.