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Finding the Fourth Proportional to 2,527.62, 3,791.67 and 795.78

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Solution

The fourth proportional to 2,527.62, 3,791.67 and 795.78 is: 1,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.62 : 3,791.67 = 795.78 : x
  2. Step 2: Convert to fraction form
    2,527.62/3,791.67 = 795.78/x
  3. Step 3: Cross multiply
    2,527.62x = 3,791.67 × 795.78
  4. Step 4: Simplify right side
    2,527.62x = 3,017,335.15
  5. Step 5: Solve for x
    x = 3,017,335.15/2,527.62
  6. Step 6: Final answer
    x = 1,193.75

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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.