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Finding the Fourth Proportional to 4,243.97, 6,367.43 and 1,648.73

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Solution

The fourth proportional to 4,243.97, 6,367.43 and 1,648.73 is: 2,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.97 : 6,367.43 = 1,648.73 : x
  2. Step 2: Convert to fraction form
    4,243.97/6,367.43 = 1,648.73/x
  3. Step 3: Cross multiply
    4,243.97x = 6,367.43 × 1,648.73
  4. Step 4: Simplify right side
    4,243.97x = 10,498,145.15
  5. Step 5: Solve for x
    x = 10,498,145.15/4,243.97
  6. Step 6: Final answer
    x = 2,473.66

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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.