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Finding the Fourth Proportional to 1,658.86, 2,487.56 and 781.61

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Solution

The fourth proportional to 1,658.86, 2,487.56 and 781.61 is: 1,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.86 : 2,487.56 = 781.61 : x
  2. Step 2: Convert to fraction form
    1,658.86/2,487.56 = 781.61/x
  3. Step 3: Cross multiply
    1,658.86x = 2,487.56 × 781.61
  4. Step 4: Simplify right side
    1,658.86x = 1,944,301.77
  5. Step 5: Solve for x
    x = 1,944,301.77/1,658.86
  6. Step 6: Final answer
    x = 1,172.07

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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.