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Finding the Fourth Proportional to 2,729.89, 3,767.27 and 1,550.97

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Solution

The fourth proportional to 2,729.89, 3,767.27 and 1,550.97 is: 2,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.89 : 3,767.27 = 1,550.97 : x
  2. Step 2: Convert to fraction form
    2,729.89/3,767.27 = 1,550.97/x
  3. Step 3: Cross multiply
    2,729.89x = 3,767.27 × 1,550.97
  4. Step 4: Simplify right side
    2,729.89x = 5,842,922.75
  5. Step 5: Solve for x
    x = 5,842,922.75/2,729.89
  6. Step 6: Final answer
    x = 2,140.35

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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.