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Finding the Fourth Proportional to 2,327.67, 3,491.10 and 866.52

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Solution

The fourth proportional to 2,327.67, 3,491.10 and 866.52 is: 1,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.67 : 3,491.10 = 866.52 : x
  2. Step 2: Convert to fraction form
    2,327.67/3,491.10 = 866.52/x
  3. Step 3: Cross multiply
    2,327.67x = 3,491.10 × 866.52
  4. Step 4: Simplify right side
    2,327.67x = 3,025,107.97
  5. Step 5: Solve for x
    x = 3,025,107.97/2,327.67
  6. Step 6: Final answer
    x = 1,299.63

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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.