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Finding the Fourth Proportional to 2,202.48, 3,306.96 and 906.48

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Solution

The fourth proportional to 2,202.48, 3,306.96 and 906.48 is: 1,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.48 : 3,306.96 = 906.48 : x
  2. Step 2: Convert to fraction form
    2,202.48/3,306.96 = 906.48/x
  3. Step 3: Cross multiply
    2,202.48x = 3,306.96 × 906.48
  4. Step 4: Simplify right side
    2,202.48x = 2,997,693.10
  5. Step 5: Solve for x
    x = 2,997,693.10/2,202.48
  6. Step 6: Final answer
    x = 1,361.05

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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.