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Finding the Fourth Proportional to 2,747.34, 4,115.79 and 1,820.16

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Solution

The fourth proportional to 2,747.34, 4,115.79 and 1,820.16 is: 2,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.34 : 4,115.79 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    2,747.34/4,115.79 = 1,820.16/x
  3. Step 3: Cross multiply
    2,747.34x = 4,115.79 × 1,820.16
  4. Step 4: Simplify right side
    2,747.34x = 7,491,396.33
  5. Step 5: Solve for x
    x = 7,491,396.33/2,747.34
  6. Step 6: Final answer
    x = 2,726.78

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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.