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Finding the Fourth Proportional to 2,149.17, 3,223.85 and 688.20

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Solution

The fourth proportional to 2,149.17, 3,223.85 and 688.20 is: 1,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.17 : 3,223.85 = 688.20 : x
  2. Step 2: Convert to fraction form
    2,149.17/3,223.85 = 688.20/x
  3. Step 3: Cross multiply
    2,149.17x = 3,223.85 × 688.20
  4. Step 4: Simplify right side
    2,149.17x = 2,218,650.13
  5. Step 5: Solve for x
    x = 2,218,650.13/2,149.17
  6. Step 6: Final answer
    x = 1,032.33

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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.