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Finding the Fourth Proportional to 2,202.75, 3,304.08 and 559.29

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Solution

The fourth proportional to 2,202.75, 3,304.08 and 559.29 is: 838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.75 : 3,304.08 = 559.29 : x
  2. Step 2: Convert to fraction form
    2,202.75/3,304.08 = 559.29/x
  3. Step 3: Cross multiply
    2,202.75x = 3,304.08 × 559.29
  4. Step 4: Simplify right side
    2,202.75x = 1,847,938.90
  5. Step 5: Solve for x
    x = 1,847,938.90/2,202.75
  6. Step 6: Final answer
    x = 838.92

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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.