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Finding the Fourth Proportional to 3,078.57, 4,243.71 and 2,414.27

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Solution

The fourth proportional to 3,078.57, 4,243.71 and 2,414.27 is: 3,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.57 : 4,243.71 = 2,414.27 : x
  2. Step 2: Convert to fraction form
    3,078.57/4,243.71 = 2,414.27/x
  3. Step 3: Cross multiply
    3,078.57x = 4,243.71 × 2,414.27
  4. Step 4: Simplify right side
    3,078.57x = 10,245,440.52
  5. Step 5: Solve for x
    x = 10,245,440.52/3,078.57
  6. Step 6: Final answer
    x = 3,327.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.