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Finding the Fourth Proportional to 3,139.42, 4,332.57 and 1,742.20

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Solution

The fourth proportional to 3,139.42, 4,332.57 and 1,742.20 is: 2,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.42 : 4,332.57 = 1,742.20 : x
  2. Step 2: Convert to fraction form
    3,139.42/4,332.57 = 1,742.20/x
  3. Step 3: Cross multiply
    3,139.42x = 4,332.57 × 1,742.20
  4. Step 4: Simplify right side
    3,139.42x = 7,548,203.45
  5. Step 5: Solve for x
    x = 7,548,203.45/3,139.42
  6. Step 6: Final answer
    x = 2,404.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.