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Finding the Fourth Proportional to 3,202.43, 4,805.81 and 1,122.46

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Solution

The fourth proportional to 3,202.43, 4,805.81 and 1,122.46 is: 1,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.43 : 4,805.81 = 1,122.46 : x
  2. Step 2: Convert to fraction form
    3,202.43/4,805.81 = 1,122.46/x
  3. Step 3: Cross multiply
    3,202.43x = 4,805.81 × 1,122.46
  4. Step 4: Simplify right side
    3,202.43x = 5,394,329.49
  5. Step 5: Solve for x
    x = 5,394,329.49/3,202.43
  6. Step 6: Final answer
    x = 1,684.45

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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.