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Finding the Fourth Proportional to 2,532.52, 3,793.78 and 1,296.28

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Solution

The fourth proportional to 2,532.52, 3,793.78 and 1,296.28 is: 1,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.52 : 3,793.78 = 1,296.28 : x
  2. Step 2: Convert to fraction form
    2,532.52/3,793.78 = 1,296.28/x
  3. Step 3: Cross multiply
    2,532.52x = 3,793.78 × 1,296.28
  4. Step 4: Simplify right side
    2,532.52x = 4,917,801.14
  5. Step 5: Solve for x
    x = 4,917,801.14/2,532.52
  6. Step 6: Final answer
    x = 1,941.86

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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.