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Finding the Fourth Proportional to 3,139.47, 4,332.46 and 1,742.22

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Solution

The fourth proportional to 3,139.47, 4,332.46 and 1,742.22 is: 2,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.47 : 4,332.46 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    3,139.47/4,332.46 = 1,742.22/x
  3. Step 3: Cross multiply
    3,139.47x = 4,332.46 × 1,742.22
  4. Step 4: Simplify right side
    3,139.47x = 7,548,098.46
  5. Step 5: Solve for x
    x = 7,548,098.46/3,139.47
  6. Step 6: Final answer
    x = 2,404.26

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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.