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Finding the Fourth Proportional to 3,049.92, 4,573.86 and 1,200.55

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Solution

The fourth proportional to 3,049.92, 4,573.86 and 1,200.55 is: 1,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.92 : 4,573.86 = 1,200.55 : x
  2. Step 2: Convert to fraction form
    3,049.92/4,573.86 = 1,200.55/x
  3. Step 3: Cross multiply
    3,049.92x = 4,573.86 × 1,200.55
  4. Step 4: Simplify right side
    3,049.92x = 5,491,141.62
  5. Step 5: Solve for x
    x = 5,491,141.62/3,049.92
  6. Step 6: Final answer
    x = 1,800.42

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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.