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Finding the Fourth Proportional to 3,274.38, 4,518.54 and 1,947.78

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Solution

The fourth proportional to 3,274.38, 4,518.54 and 1,947.78 is: 2,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.38 : 4,518.54 = 1,947.78 : x
  2. Step 2: Convert to fraction form
    3,274.38/4,518.54 = 1,947.78/x
  3. Step 3: Cross multiply
    3,274.38x = 4,518.54 × 1,947.78
  4. Step 4: Simplify right side
    3,274.38x = 8,801,121.84
  5. Step 5: Solve for x
    x = 8,801,121.84/3,274.38
  6. Step 6: Final answer
    x = 2,687.87

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Why These Related Problems?

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