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Finding the Fourth Proportional to 2,781.97, 3,839.10 and 1,523.05

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Solution

The fourth proportional to 2,781.97, 3,839.10 and 1,523.05 is: 2,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.97 : 3,839.10 = 1,523.05 : x
  2. Step 2: Convert to fraction form
    2,781.97/3,839.10 = 1,523.05/x
  3. Step 3: Cross multiply
    2,781.97x = 3,839.10 × 1,523.05
  4. Step 4: Simplify right side
    2,781.97x = 5,847,141.26
  5. Step 5: Solve for x
    x = 5,847,141.26/2,781.97
  6. Step 6: Final answer
    x = 2,101.80

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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.