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Finding the Fourth Proportional to 2,202.80, 3,302.14 and 1,105.88

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Solution

The fourth proportional to 2,202.80, 3,302.14 and 1,105.88 is: 1,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.80 : 3,302.14 = 1,105.88 : x
  2. Step 2: Convert to fraction form
    2,202.80/3,302.14 = 1,105.88/x
  3. Step 3: Cross multiply
    2,202.80x = 3,302.14 × 1,105.88
  4. Step 4: Simplify right side
    2,202.80x = 3,651,770.58
  5. Step 5: Solve for x
    x = 3,651,770.58/2,202.80
  6. Step 6: Final answer
    x = 1,657.79

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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.