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Finding the Fourth Proportional to 3,233.94, 4,850.46 and 1,042.41

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Solution

The fourth proportional to 3,233.94, 4,850.46 and 1,042.41 is: 1,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.94 : 4,850.46 = 1,042.41 : x
  2. Step 2: Convert to fraction form
    3,233.94/4,850.46 = 1,042.41/x
  3. Step 3: Cross multiply
    3,233.94x = 4,850.46 × 1,042.41
  4. Step 4: Simplify right side
    3,233.94x = 5,056,168.01
  5. Step 5: Solve for x
    x = 5,056,168.01/3,233.94
  6. Step 6: Final answer
    x = 1,563.47

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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.