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Finding the Fourth Proportional to 2,452.68, 3,680.37 and 1,046.97

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Solution

The fourth proportional to 2,452.68, 3,680.37 and 1,046.97 is: 1,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.68 : 3,680.37 = 1,046.97 : x
  2. Step 2: Convert to fraction form
    2,452.68/3,680.37 = 1,046.97/x
  3. Step 3: Cross multiply
    2,452.68x = 3,680.37 × 1,046.97
  4. Step 4: Simplify right side
    2,452.68x = 3,853,236.98
  5. Step 5: Solve for x
    x = 3,853,236.98/2,452.68
  6. Step 6: Final answer
    x = 1,571.03

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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.