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Finding the Fourth Proportional to 2,099.04, 3,144.24 and 1,232.88

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Solution

The fourth proportional to 2,099.04, 3,144.24 and 1,232.88 is: 1,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.04 : 3,144.24 = 1,232.88 : x
  2. Step 2: Convert to fraction form
    2,099.04/3,144.24 = 1,232.88/x
  3. Step 3: Cross multiply
    2,099.04x = 3,144.24 × 1,232.88
  4. Step 4: Simplify right side
    2,099.04x = 3,876,470.61
  5. Step 5: Solve for x
    x = 3,876,470.61/2,099.04
  6. Step 6: Final answer
    x = 1,846.78

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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.