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Finding the Fourth Proportional to 2,001.17, 3,002.12 and 614.49

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Solution

The fourth proportional to 2,001.17, 3,002.12 and 614.49 is: 921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.17 : 3,002.12 = 614.49 : x
  2. Step 2: Convert to fraction form
    2,001.17/3,002.12 = 614.49/x
  3. Step 3: Cross multiply
    2,001.17x = 3,002.12 × 614.49
  4. Step 4: Simplify right side
    2,001.17x = 1,844,772.72
  5. Step 5: Solve for x
    x = 1,844,772.72/2,001.17
  6. Step 6: Final answer
    x = 921.85

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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.