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Finding the Fourth Proportional to 2,755.97, 4,135.17 and 1,296.17

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Solution

The fourth proportional to 2,755.97, 4,135.17 and 1,296.17 is: 1,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.97 : 4,135.17 = 1,296.17 : x
  2. Step 2: Convert to fraction form
    2,755.97/4,135.17 = 1,296.17/x
  3. Step 3: Cross multiply
    2,755.97x = 4,135.17 × 1,296.17
  4. Step 4: Simplify right side
    2,755.97x = 5,359,883.30
  5. Step 5: Solve for x
    x = 5,359,883.30/2,755.97
  6. Step 6: Final answer
    x = 1,944.83

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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.