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Finding the Fourth Proportional to 2,439.69, 3,349.16 and 2,242.86

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Solution

The fourth proportional to 2,439.69, 3,349.16 and 2,242.86 is: 3,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.69 : 3,349.16 = 2,242.86 : x
  2. Step 2: Convert to fraction form
    2,439.69/3,349.16 = 2,242.86/x
  3. Step 3: Cross multiply
    2,439.69x = 3,349.16 × 2,242.86
  4. Step 4: Simplify right side
    2,439.69x = 7,511,685.78
  5. Step 5: Solve for x
    x = 7,511,685.78/2,439.69
  6. Step 6: Final answer
    x = 3,078.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.