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Finding the Fourth Proportional to 2,201.96, 3,304.01 and 969.21

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Solution

The fourth proportional to 2,201.96, 3,304.01 and 969.21 is: 1,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.96 : 3,304.01 = 969.21 : x
  2. Step 2: Convert to fraction form
    2,201.96/3,304.01 = 969.21/x
  3. Step 3: Cross multiply
    2,201.96x = 3,304.01 × 969.21
  4. Step 4: Simplify right side
    2,201.96x = 3,202,274.69
  5. Step 5: Solve for x
    x = 3,202,274.69/2,201.96
  6. Step 6: Final answer
    x = 1,454.29

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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.