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Finding the Fourth Proportional to 2,527.67, 3,791.36 and 884.18

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Solution

The fourth proportional to 2,527.67, 3,791.36 and 884.18 is: 1,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.67 : 3,791.36 = 884.18 : x
  2. Step 2: Convert to fraction form
    2,527.67/3,791.36 = 884.18/x
  3. Step 3: Cross multiply
    2,527.67x = 3,791.36 × 884.18
  4. Step 4: Simplify right side
    2,527.67x = 3,352,221.31
  5. Step 5: Solve for x
    x = 3,352,221.31/2,527.67
  6. Step 6: Final answer
    x = 1,326.21

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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.