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Finding the Fourth Proportional to 2,148.64, 3,217.92 and 1,049.56

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Solution

The fourth proportional to 2,148.64, 3,217.92 and 1,049.56 is: 1,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.64 : 3,217.92 = 1,049.56 : x
  2. Step 2: Convert to fraction form
    2,148.64/3,217.92 = 1,049.56/x
  3. Step 3: Cross multiply
    2,148.64x = 3,217.92 × 1,049.56
  4. Step 4: Simplify right side
    2,148.64x = 3,377,400.12
  5. Step 5: Solve for x
    x = 3,377,400.12/2,148.64
  6. Step 6: Final answer
    x = 1,571.88

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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.