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Finding the Fourth Proportional to 2,198.33, 3,297.92 and 717.96

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Solution

The fourth proportional to 2,198.33, 3,297.92 and 717.96 is: 1,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.33 : 3,297.92 = 717.96 : x
  2. Step 2: Convert to fraction form
    2,198.33/3,297.92 = 717.96/x
  3. Step 3: Cross multiply
    2,198.33x = 3,297.92 × 717.96
  4. Step 4: Simplify right side
    2,198.33x = 2,367,771.05
  5. Step 5: Solve for x
    x = 2,367,771.05/2,198.33
  6. Step 6: Final answer
    x = 1,077.08

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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.