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Finding the Fourth Proportional to 2,202.27, 3,304.48 and 969.52

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Solution

The fourth proportional to 2,202.27, 3,304.48 and 969.52 is: 1,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.27 : 3,304.48 = 969.52 : x
  2. Step 2: Convert to fraction form
    2,202.27/3,304.48 = 969.52/x
  3. Step 3: Cross multiply
    2,202.27x = 3,304.48 × 969.52
  4. Step 4: Simplify right side
    2,202.27x = 3,203,754.60
  5. Step 5: Solve for x
    x = 3,203,754.60/2,202.27
  6. Step 6: Final answer
    x = 1,454.75

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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.