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Finding the Fourth Proportional to 2,721.78, 4,082.67 and 1,854.27

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Solution

The fourth proportional to 2,721.78, 4,082.67 and 1,854.27 is: 2,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.78 : 4,082.67 = 1,854.27 : x
  2. Step 2: Convert to fraction form
    2,721.78/4,082.67 = 1,854.27/x
  3. Step 3: Cross multiply
    2,721.78x = 4,082.67 × 1,854.27
  4. Step 4: Simplify right side
    2,721.78x = 7,570,372.50
  5. Step 5: Solve for x
    x = 7,570,372.50/2,721.78
  6. Step 6: Final answer
    x = 2,781.41

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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.