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Finding the Fourth Proportional to 2,744.88, 3,781.24 and 2,081.08

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Solution

The fourth proportional to 2,744.88, 3,781.24 and 2,081.08 is: 2,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.88 : 3,781.24 = 2,081.08 : x
  2. Step 2: Convert to fraction form
    2,744.88/3,781.24 = 2,081.08/x
  3. Step 3: Cross multiply
    2,744.88x = 3,781.24 × 2,081.08
  4. Step 4: Simplify right side
    2,744.88x = 7,869,062.94
  5. Step 5: Solve for x
    x = 7,869,062.94/2,744.88
  6. Step 6: Final answer
    x = 2,866.81

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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.