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Finding the Fourth Proportional to 3,351.78, 5,029.50 and 1,620.42

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Solution

The fourth proportional to 3,351.78, 5,029.50 and 1,620.42 is: 2,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.78 : 5,029.50 = 1,620.42 : x
  2. Step 2: Convert to fraction form
    3,351.78/5,029.50 = 1,620.42/x
  3. Step 3: Cross multiply
    3,351.78x = 5,029.50 × 1,620.42
  4. Step 4: Simplify right side
    3,351.78x = 8,149,902.39
  5. Step 5: Solve for x
    x = 8,149,902.39/3,351.78
  6. Step 6: Final answer
    x = 2,431.51

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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.