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Finding the Fourth Proportional to 2,839.13, 3,918 and 1,791.20

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Solution

The fourth proportional to 2,839.13, 3,918 and 1,791.20 is: 2,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.13 : 3,918 = 1,791.20 : x
  2. Step 2: Convert to fraction form
    2,839.13/3,918 = 1,791.20/x
  3. Step 3: Cross multiply
    2,839.13x = 3,918 × 1,791.20
  4. Step 4: Simplify right side
    2,839.13x = 7,017,902.01
  5. Step 5: Solve for x
    x = 7,017,902.01/2,839.13
  6. Step 6: Final answer
    x = 2,471.85

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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.