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Finding the Fourth Proportional to 3,233.44, 4,846.70 and 1,843.78

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Solution

The fourth proportional to 3,233.44, 4,846.70 and 1,843.78 is: 2,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.44 : 4,846.70 = 1,843.78 : x
  2. Step 2: Convert to fraction form
    3,233.44/4,846.70 = 1,843.78/x
  3. Step 3: Cross multiply
    3,233.44x = 4,846.70 × 1,843.78
  4. Step 4: Simplify right side
    3,233.44x = 8,936,241.02
  5. Step 5: Solve for x
    x = 8,936,241.02/3,233.44
  6. Step 6: Final answer
    x = 2,763.70

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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.