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Finding the Fourth Proportional to 3,202.57, 4,800.56 and 1,227.66

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Solution

The fourth proportional to 3,202.57, 4,800.56 and 1,227.66 is: 1,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.57 : 4,800.56 = 1,227.66 : x
  2. Step 2: Convert to fraction form
    3,202.57/4,800.56 = 1,227.66/x
  3. Step 3: Cross multiply
    3,202.57x = 4,800.56 × 1,227.66
  4. Step 4: Simplify right side
    3,202.57x = 5,893,455.49
  5. Step 5: Solve for x
    x = 5,893,455.49/3,202.57
  6. Step 6: Final answer
    x = 1,840.23

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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.