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Finding the Fourth Proportional to 3,049.52, 4,575.37 and 1,199.61

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Solution

The fourth proportional to 3,049.52, 4,575.37 and 1,199.61 is: 1,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.52 : 4,575.37 = 1,199.61 : x
  2. Step 2: Convert to fraction form
    3,049.52/4,575.37 = 1,199.61/x
  3. Step 3: Cross multiply
    3,049.52x = 4,575.37 × 1,199.61
  4. Step 4: Simplify right side
    3,049.52x = 5,488,636.73
  5. Step 5: Solve for x
    x = 5,488,636.73/3,049.52
  6. Step 6: Final answer
    x = 1,799.84

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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.