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Finding the Fourth Proportional to 3,207.97, 4,813.80 and 2,112.85

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Solution

The fourth proportional to 3,207.97, 4,813.80 and 2,112.85 is: 3,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.97 : 4,813.80 = 2,112.85 : x
  2. Step 2: Convert to fraction form
    3,207.97/4,813.80 = 2,112.85/x
  3. Step 3: Cross multiply
    3,207.97x = 4,813.80 × 2,112.85
  4. Step 4: Simplify right side
    3,207.97x = 10,170,837.33
  5. Step 5: Solve for x
    x = 10,170,837.33/3,207.97
  6. Step 6: Final answer
    x = 3,170.49

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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.