Given the ratios X:Y = 2:3 and Y:Z = 4:5, determine the combined ratio X:Y:Z.

Explanation

To find X:Y:Z when X:Y = 2:3 and Y:Z = 4:5, first equalize the Y terms by finding the least common multiple of the Y parts (3 and 4), which is 12. Adjust the ratios accordingly: X:Y = (2×4):(3×4) = 8:12 and Y:Z = (4×3):(5×3) = 12:15. Therefore, the combined ratio X:Y:Z is 8:12:15.