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Finding the Fourth Proportional to 2,528.71, 3,793.97 and 1,296.70

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Solution

The fourth proportional to 2,528.71, 3,793.97 and 1,296.70 is: 1,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.71 : 3,793.97 = 1,296.70 : x
  2. Step 2: Convert to fraction form
    2,528.71/3,793.97 = 1,296.70/x
  3. Step 3: Cross multiply
    2,528.71x = 3,793.97 × 1,296.70
  4. Step 4: Simplify right side
    2,528.71x = 4,919,640.90
  5. Step 5: Solve for x
    x = 4,919,640.90/2,528.71
  6. Step 6: Final answer
    x = 1,945.51

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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.