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Finding the Fourth Proportional to 2,834.31, 3,896.22 and 2,532.39

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Solution

The fourth proportional to 2,834.31, 3,896.22 and 2,532.39 is: 3,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.31 : 3,896.22 = 2,532.39 : x
  2. Step 2: Convert to fraction form
    2,834.31/3,896.22 = 2,532.39/x
  3. Step 3: Cross multiply
    2,834.31x = 3,896.22 × 2,532.39
  4. Step 4: Simplify right side
    2,834.31x = 9,866,748.57
  5. Step 5: Solve for x
    x = 9,866,748.57/2,834.31
  6. Step 6: Final answer
    x = 3,481.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.