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Finding the Fourth Proportional to 2,791.97, 3,852.92 and 1,549.97

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Solution

The fourth proportional to 2,791.97, 3,852.92 and 1,549.97 is: 2,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.97 : 3,852.92 = 1,549.97 : x
  2. Step 2: Convert to fraction form
    2,791.97/3,852.92 = 1,549.97/x
  3. Step 3: Cross multiply
    2,791.97x = 3,852.92 × 1,549.97
  4. Step 4: Simplify right side
    2,791.97x = 5,971,900.75
  5. Step 5: Solve for x
    x = 5,971,900.75/2,791.97
  6. Step 6: Final answer
    x = 2,138.96

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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.