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Finding the Fourth Proportional to 2,439.78, 3,658.95 and 2,049.90

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Solution

The fourth proportional to 2,439.78, 3,658.95 and 2,049.90 is: 3,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.78 : 3,658.95 = 2,049.90 : x
  2. Step 2: Convert to fraction form
    2,439.78/3,658.95 = 2,049.90/x
  3. Step 3: Cross multiply
    2,439.78x = 3,658.95 × 2,049.90
  4. Step 4: Simplify right side
    2,439.78x = 7,500,481.61
  5. Step 5: Solve for x
    x = 7,500,481.61/2,439.78
  6. Step 6: Final answer
    x = 3,074.25

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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.