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Finding the Fourth Proportional to 2,202.74, 3,304.26 and 796.98

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Solution

The fourth proportional to 2,202.74, 3,304.26 and 796.98 is: 1,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.74 : 3,304.26 = 796.98 : x
  2. Step 2: Convert to fraction form
    2,202.74/3,304.26 = 796.98/x
  3. Step 3: Cross multiply
    2,202.74x = 3,304.26 × 796.98
  4. Step 4: Simplify right side
    2,202.74x = 2,633,429.13
  5. Step 5: Solve for x
    x = 2,633,429.13/2,202.74
  6. Step 6: Final answer
    x = 1,195.53

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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.