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Finding the Fourth Proportional to 3,402.41, 5,105.79 and 1,843.49

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Solution

The fourth proportional to 3,402.41, 5,105.79 and 1,843.49 is: 2,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.41 : 5,105.79 = 1,843.49 : x
  2. Step 2: Convert to fraction form
    3,402.41/5,105.79 = 1,843.49/x
  3. Step 3: Cross multiply
    3,402.41x = 5,105.79 × 1,843.49
  4. Step 4: Simplify right side
    3,402.41x = 9,412,447.28
  5. Step 5: Solve for x
    x = 9,412,447.28/3,402.41
  6. Step 6: Final answer
    x = 2,766.41

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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.