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Finding the Fourth Proportional to 2,122.43, 3,183.10 and 660.83

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Solution

The fourth proportional to 2,122.43, 3,183.10 and 660.83 is: 991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.43 : 3,183.10 = 660.83 : x
  2. Step 2: Convert to fraction form
    2,122.43/3,183.10 = 660.83/x
  3. Step 3: Cross multiply
    2,122.43x = 3,183.10 × 660.83
  4. Step 4: Simplify right side
    2,122.43x = 2,103,487.97
  5. Step 5: Solve for x
    x = 2,103,487.97/2,122.43
  6. Step 6: Final answer
    x = 991.08

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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.