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Finding the Fourth Proportional to 3,380.84, 5,067.50 and 1,647.56

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Solution

The fourth proportional to 3,380.84, 5,067.50 and 1,647.56 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.84 : 5,067.50 = 1,647.56 : x
  2. Step 2: Convert to fraction form
    3,380.84/5,067.50 = 1,647.56/x
  3. Step 3: Cross multiply
    3,380.84x = 5,067.50 × 1,647.56
  4. Step 4: Simplify right side
    3,380.84x = 8,349,010.30
  5. Step 5: Solve for x
    x = 8,349,010.30/3,380.84
  6. Step 6: Final answer
    x = 2,469.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.