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Finding the Fourth Proportional to 2,871.30, 3,954.24 and 2,469.90

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Solution

The fourth proportional to 2,871.30, 3,954.24 and 2,469.90 is: 3,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.30 : 3,954.24 = 2,469.90 : x
  2. Step 2: Convert to fraction form
    2,871.30/3,954.24 = 2,469.90/x
  3. Step 3: Cross multiply
    2,871.30x = 3,954.24 × 2,469.90
  4. Step 4: Simplify right side
    2,871.30x = 9,766,577.38
  5. Step 5: Solve for x
    x = 9,766,577.38/2,871.30
  6. Step 6: Final answer
    x = 3,401.45

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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.