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Finding the Fourth Proportional to 2,000.97, 3,001.71 and 614.27

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Solution

The fourth proportional to 2,000.97, 3,001.71 and 614.27 is: 921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.97 : 3,001.71 = 614.27 : x
  2. Step 2: Convert to fraction form
    2,000.97/3,001.71 = 614.27/x
  3. Step 3: Cross multiply
    2,000.97x = 3,001.71 × 614.27
  4. Step 4: Simplify right side
    2,000.97x = 1,843,860.40
  5. Step 5: Solve for x
    x = 1,843,860.40/2,000.97
  6. Step 6: Final answer
    x = 921.48

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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.