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Finding the Fourth Proportional to 2,332.47, 3,497.31 and 869.91

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Solution

The fourth proportional to 2,332.47, 3,497.31 and 869.91 is: 1,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.47 : 3,497.31 = 869.91 : x
  2. Step 2: Convert to fraction form
    2,332.47/3,497.31 = 869.91/x
  3. Step 3: Cross multiply
    2,332.47x = 3,497.31 × 869.91
  4. Step 4: Simplify right side
    2,332.47x = 3,042,344.94
  5. Step 5: Solve for x
    x = 3,042,344.94/2,332.47
  6. Step 6: Final answer
    x = 1,304.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.