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Finding the Fourth Proportional to 2,000.86, 3,001.73 and 614.21

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Solution

The fourth proportional to 2,000.86, 3,001.73 and 614.21 is: 921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.86 : 3,001.73 = 614.21 : x
  2. Step 2: Convert to fraction form
    2,000.86/3,001.73 = 614.21/x
  3. Step 3: Cross multiply
    2,000.86x = 3,001.73 × 614.21
  4. Step 4: Simplify right side
    2,000.86x = 1,843,692.58
  5. Step 5: Solve for x
    x = 1,843,692.58/2,000.86
  6. Step 6: Final answer
    x = 921.45

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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.