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Finding the Fourth Proportional to 2,761.92, 4,144.68 and 2,539.44

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Solution

The fourth proportional to 2,761.92, 4,144.68 and 2,539.44 is: 3,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.92 : 4,144.68 = 2,539.44 : x
  2. Step 2: Convert to fraction form
    2,761.92/4,144.68 = 2,539.44/x
  3. Step 3: Cross multiply
    2,761.92x = 4,144.68 × 2,539.44
  4. Step 4: Simplify right side
    2,761.92x = 10,525,166.18
  5. Step 5: Solve for x
    x = 10,525,166.18/2,761.92
  6. Step 6: Final answer
    x = 3,810.82

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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.