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Finding the Fourth Proportional to 2,202.39, 3,301.07 and 902.25

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Solution

The fourth proportional to 2,202.39, 3,301.07 and 902.25 is: 1,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.39 : 3,301.07 = 902.25 : x
  2. Step 2: Convert to fraction form
    2,202.39/3,301.07 = 902.25/x
  3. Step 3: Cross multiply
    2,202.39x = 3,301.07 × 902.25
  4. Step 4: Simplify right side
    2,202.39x = 2,978,385.90
  5. Step 5: Solve for x
    x = 2,978,385.90/2,202.39
  6. Step 6: Final answer
    x = 1,352.34

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1.5x scale

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.