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Finding the Fourth Proportional to 2,839.73, 3,918.17 and 1,660.23

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Solution

The fourth proportional to 2,839.73, 3,918.17 and 1,660.23 is: 2,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.73 : 3,918.17 = 1,660.23 : x
  2. Step 2: Convert to fraction form
    2,839.73/3,918.17 = 1,660.23/x
  3. Step 3: Cross multiply
    2,839.73x = 3,918.17 × 1,660.23
  4. Step 4: Simplify right side
    2,839.73x = 6,505,067.53
  5. Step 5: Solve for x
    x = 6,505,067.53/2,839.73
  6. Step 6: Final answer
    x = 2,290.74

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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.