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Finding the Fourth Proportional to 2,512.26, 3,770.24 and 2,147.76

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Solution

The fourth proportional to 2,512.26, 3,770.24 and 2,147.76 is: 3,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.26 : 3,770.24 = 2,147.76 : x
  2. Step 2: Convert to fraction form
    2,512.26/3,770.24 = 2,147.76/x
  3. Step 3: Cross multiply
    2,512.26x = 3,770.24 × 2,147.76
  4. Step 4: Simplify right side
    2,512.26x = 8,097,559.92
  5. Step 5: Solve for x
    x = 8,097,559.92/2,512.26
  6. Step 6: Final answer
    x = 3,223.22

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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.