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Finding the Fourth Proportional to 2,947.52, 4,063.79 and 2,414.43

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Solution

The fourth proportional to 2,947.52, 4,063.79 and 2,414.43 is: 3,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.52 : 4,063.79 = 2,414.43 : x
  2. Step 2: Convert to fraction form
    2,947.52/4,063.79 = 2,414.43/x
  3. Step 3: Cross multiply
    2,947.52x = 4,063.79 × 2,414.43
  4. Step 4: Simplify right side
    2,947.52x = 9,811,724.42
  5. Step 5: Solve for x
    x = 9,811,724.42/2,947.52
  6. Step 6: Final answer
    x = 3,328.81

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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.