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Finding the Fourth Proportional to 2,327.52, 3,490.68 and 866.64

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Solution

The fourth proportional to 2,327.52, 3,490.68 and 866.64 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.52 : 3,490.68 = 866.64 : x
  2. Step 2: Convert to fraction form
    2,327.52/3,490.68 = 866.64/x
  3. Step 3: Cross multiply
    2,327.52x = 3,490.68 × 866.64
  4. Step 4: Simplify right side
    2,327.52x = 3,025,162.92
  5. Step 5: Solve for x
    x = 3,025,162.92/2,327.52
  6. Step 6: Final answer
    x = 1,299.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.