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Finding the Fourth Proportional to 2,337.48, 3,502.31 and 1,642.91

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Solution

The fourth proportional to 2,337.48, 3,502.31 and 1,642.91 is: 2,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.48 : 3,502.31 = 1,642.91 : x
  2. Step 2: Convert to fraction form
    2,337.48/3,502.31 = 1,642.91/x
  3. Step 3: Cross multiply
    2,337.48x = 3,502.31 × 1,642.91
  4. Step 4: Simplify right side
    2,337.48x = 5,753,963.64
  5. Step 5: Solve for x
    x = 5,753,963.64/2,337.48
  6. Step 6: Final answer
    x = 2,461.61

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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.