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Finding the Fourth Proportional to 2,781.97, 3,839.28 and 1,522.99

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Solution

The fourth proportional to 2,781.97, 3,839.28 and 1,522.99 is: 2,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.97 : 3,839.28 = 1,522.99 : x
  2. Step 2: Convert to fraction form
    2,781.97/3,839.28 = 1,522.99/x
  3. Step 3: Cross multiply
    2,781.97x = 3,839.28 × 1,522.99
  4. Step 4: Simplify right side
    2,781.97x = 5,847,185.05
  5. Step 5: Solve for x
    x = 5,847,185.05/2,781.97
  6. Step 6: Final answer
    x = 2,101.81

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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.