Well, 2:3 expressed as a fraction is 2/3.

__Problem 1__: 2:3 = 4:x (your statement) 2/3 = 4/x (your statement - expressed as fractions) 2x = 12 (cross multiply: (2 * x) and (4 * 3)) 2x/2 = 12/2 (divide by 2 on both sides) x = 6 (simplify) Therefore, 2:3 =**4:6**__Problem 2__: 2:3 = 8:x (your statement) 2/3 = 8/x (your statement - expressed as fractions) 2x = 24 (cross mulitply: (2 * x) and (8 * 3)) 2x/2 = 24/2 (divide by 2 on both sides) x = 12 (simplify) Hence, 2:3 =**8:12**__Problem 3__: 2:3 = x:15 (your statement) 2/3 = x/15 (your statement - expressed as fractions) 3x = 30 (cross multiply: (2 * 15) and (3 * x)) 3x/3 = 30/3 (divide by 3 on both sides) x = 10 (simplify) Thus, 2:3 =**10:15**__Final answer__: 2:3 = 4:6 = 8:12 = 10:15 (these are equivalent ratios)