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Finding the Fourth Proportional to 2,202.91, 3,305.12 and 1,380.20

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Solution

The fourth proportional to 2,202.91, 3,305.12 and 1,380.20 is: 2,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.91 : 3,305.12 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    2,202.91/3,305.12 = 1,380.20/x
  3. Step 3: Cross multiply
    2,202.91x = 3,305.12 × 1,380.20
  4. Step 4: Simplify right side
    2,202.91x = 4,561,726.62
  5. Step 5: Solve for x
    x = 4,561,726.62/2,202.91
  6. Step 6: Final answer
    x = 2,070.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.