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Finding the Fourth Proportional to 2,327.62, 3,491.16 and 866.61

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Solution

The fourth proportional to 2,327.62, 3,491.16 and 866.61 is: 1,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.62 : 3,491.16 = 866.61 : x
  2. Step 2: Convert to fraction form
    2,327.62/3,491.16 = 866.61/x
  3. Step 3: Cross multiply
    2,327.62x = 3,491.16 × 866.61
  4. Step 4: Simplify right side
    2,327.62x = 3,025,474.17
  5. Step 5: Solve for x
    x = 3,025,474.17/2,327.62
  6. Step 6: Final answer
    x = 1,299.81

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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.