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Finding the Fourth Proportional to 1,691.77, 2,537.27 and 766.71

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Solution

The fourth proportional to 1,691.77, 2,537.27 and 766.71 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.77 : 2,537.27 = 766.71 : x
  2. Step 2: Convert to fraction form
    1,691.77/2,537.27 = 766.71/x
  3. Step 3: Cross multiply
    1,691.77x = 2,537.27 × 766.71
  4. Step 4: Simplify right side
    1,691.77x = 1,945,350.28
  5. Step 5: Solve for x
    x = 1,945,350.28/1,691.77
  6. Step 6: Final answer
    x = 1,149.89

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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.