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Finding the Fourth Proportional to 2,147.85, 3,221.37 and 915.37

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Solution

The fourth proportional to 2,147.85, 3,221.37 and 915.37 is: 1,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.85 : 3,221.37 = 915.37 : x
  2. Step 2: Convert to fraction form
    2,147.85/3,221.37 = 915.37/x
  3. Step 3: Cross multiply
    2,147.85x = 3,221.37 × 915.37
  4. Step 4: Simplify right side
    2,147.85x = 2,948,737.40
  5. Step 5: Solve for x
    x = 2,948,737.40/2,147.85
  6. Step 6: Final answer
    x = 1,372.88

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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.