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Finding the Fourth Proportional to 2,757.67, 3,797.76 and 2,425.98

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Solution

The fourth proportional to 2,757.67, 3,797.76 and 2,425.98 is: 3,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.67 : 3,797.76 = 2,425.98 : x
  2. Step 2: Convert to fraction form
    2,757.67/3,797.76 = 2,425.98/x
  3. Step 3: Cross multiply
    2,757.67x = 3,797.76 × 2,425.98
  4. Step 4: Simplify right side
    2,757.67x = 9,213,289.80
  5. Step 5: Solve for x
    x = 9,213,289.80/2,757.67
  6. Step 6: Final answer
    x = 3,340.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.