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Finding the Fourth Proportional to 2,769.97, 4,131.61 and 2,354.44

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Solution

The fourth proportional to 2,769.97, 4,131.61 and 2,354.44 is: 3,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.97 : 4,131.61 = 2,354.44 : x
  2. Step 2: Convert to fraction form
    2,769.97/4,131.61 = 2,354.44/x
  3. Step 3: Cross multiply
    2,769.97x = 4,131.61 × 2,354.44
  4. Step 4: Simplify right side
    2,769.97x = 9,727,631.00
  5. Step 5: Solve for x
    x = 9,727,631.00/2,769.97
  6. Step 6: Final answer
    x = 3,511.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.