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Finding the Fourth Proportional to 2,527.97, 3,791.21 and 772.83

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Solution

The fourth proportional to 2,527.97, 3,791.21 and 772.83 is: 1,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.97 : 3,791.21 = 772.83 : x
  2. Step 2: Convert to fraction form
    2,527.97/3,791.21 = 772.83/x
  3. Step 3: Cross multiply
    2,527.97x = 3,791.21 × 772.83
  4. Step 4: Simplify right side
    2,527.97x = 2,929,956.96
  5. Step 5: Solve for x
    x = 2,929,956.96/2,527.97
  6. Step 6: Final answer
    x = 1,159.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.