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Finding the Fourth Proportional to 3,229.97, 4,832.74 and 1,914.43

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Solution

The fourth proportional to 3,229.97, 4,832.74 and 1,914.43 is: 2,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.97 : 4,832.74 = 1,914.43 : x
  2. Step 2: Convert to fraction form
    3,229.97/4,832.74 = 1,914.43/x
  3. Step 3: Cross multiply
    3,229.97x = 4,832.74 × 1,914.43
  4. Step 4: Simplify right side
    3,229.97x = 9,251,942.44
  5. Step 5: Solve for x
    x = 9,251,942.44/3,229.97
  6. Step 6: Final answer
    x = 2,864.41

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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.