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Finding the Fourth Proportional to 2,527.53, 3,791.97 and 966.71

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Solution

The fourth proportional to 2,527.53, 3,791.97 and 966.71 is: 1,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.53 : 3,791.97 = 966.71 : x
  2. Step 2: Convert to fraction form
    2,527.53/3,791.97 = 966.71/x
  3. Step 3: Cross multiply
    2,527.53x = 3,791.97 × 966.71
  4. Step 4: Simplify right side
    2,527.53x = 3,665,735.32
  5. Step 5: Solve for x
    x = 3,665,735.32/2,527.53
  6. Step 6: Final answer
    x = 1,450.32

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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.