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Finding the Fourth Proportional to 2,327.38, 3,491.28 and 766.92

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Solution

The fourth proportional to 2,327.38, 3,491.28 and 766.92 is: 1,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.38 : 3,491.28 = 766.92 : x
  2. Step 2: Convert to fraction form
    2,327.38/3,491.28 = 766.92/x
  3. Step 3: Cross multiply
    2,327.38x = 3,491.28 × 766.92
  4. Step 4: Simplify right side
    2,327.38x = 2,677,532.46
  5. Step 5: Solve for x
    x = 2,677,532.46/2,327.38
  6. Step 6: Final answer
    x = 1,150.45

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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.