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Finding the Fourth Proportional to 2,174.88, 3,262.52 and 614.90

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Solution

The fourth proportional to 2,174.88, 3,262.52 and 614.90 is: 922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.88 : 3,262.52 = 614.90 : x
  2. Step 2: Convert to fraction form
    2,174.88/3,262.52 = 614.90/x
  3. Step 3: Cross multiply
    2,174.88x = 3,262.52 × 614.90
  4. Step 4: Simplify right side
    2,174.88x = 2,006,104.16
  5. Step 5: Solve for x
    x = 2,006,104.16/2,174.88
  6. Step 6: Final answer
    x = 922.40

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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.