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Finding the Fourth Proportional to 2,757.27, 3,805.50 and 2,666.15

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Solution

The fourth proportional to 2,757.27, 3,805.50 and 2,666.15 is: 3,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.27 : 3,805.50 = 2,666.15 : x
  2. Step 2: Convert to fraction form
    2,757.27/3,805.50 = 2,666.15/x
  3. Step 3: Cross multiply
    2,757.27x = 3,805.50 × 2,666.15
  4. Step 4: Simplify right side
    2,757.27x = 10,146,033.83
  5. Step 5: Solve for x
    x = 10,146,033.83/2,757.27
  6. Step 6: Final answer
    x = 3,679.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.