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Finding the Fourth Proportional to 3,231.49, 4,847.49 and 1,040.29

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Solution

The fourth proportional to 3,231.49, 4,847.49 and 1,040.29 is: 1,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.49 : 4,847.49 = 1,040.29 : x
  2. Step 2: Convert to fraction form
    3,231.49/4,847.49 = 1,040.29/x
  3. Step 3: Cross multiply
    3,231.49x = 4,847.49 × 1,040.29
  4. Step 4: Simplify right side
    3,231.49x = 5,042,765.93
  5. Step 5: Solve for x
    x = 5,042,765.93/3,231.49
  6. Step 6: Final answer
    x = 1,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.