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Finding the Fourth Proportional to 2,202.44, 3,302.46 and 968.43

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Solution

The fourth proportional to 2,202.44, 3,302.46 and 968.43 is: 1,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.44 : 3,302.46 = 968.43 : x
  2. Step 2: Convert to fraction form
    2,202.44/3,302.46 = 968.43/x
  3. Step 3: Cross multiply
    2,202.44x = 3,302.46 × 968.43
  4. Step 4: Simplify right side
    2,202.44x = 3,198,201.34
  5. Step 5: Solve for x
    x = 3,198,201.34/2,202.44
  6. Step 6: Final answer
    x = 1,452.12

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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.