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Finding the Fourth Proportional to 2,153.20, 3,229.78 and 614.20

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Solution

The fourth proportional to 2,153.20, 3,229.78 and 614.20 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.20 : 3,229.78 = 614.20 : x
  2. Step 2: Convert to fraction form
    2,153.20/3,229.78 = 614.20/x
  3. Step 3: Cross multiply
    2,153.20x = 3,229.78 × 614.20
  4. Step 4: Simplify right side
    2,153.20x = 1,983,730.88
  5. Step 5: Solve for x
    x = 1,983,730.88/2,153.20
  6. Step 6: Final answer
    x = 921.29

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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.