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Finding the Fourth Proportional to 2,152.96, 3,229.44 and 614.08

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Solution

The fourth proportional to 2,152.96, 3,229.44 and 614.08 is: 921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.96 : 3,229.44 = 614.08 : x
  2. Step 2: Convert to fraction form
    2,152.96/3,229.44 = 614.08/x
  3. Step 3: Cross multiply
    2,152.96x = 3,229.44 × 614.08
  4. Step 4: Simplify right side
    2,152.96x = 1,983,134.52
  5. Step 5: Solve for x
    x = 1,983,134.52/2,152.96
  6. Step 6: Final answer
    x = 921.12

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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.