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Finding the Fourth Proportional to 2,287.97, 3,431.94 and 827.12

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Solution

The fourth proportional to 2,287.97, 3,431.94 and 827.12 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.97 : 3,431.94 = 827.12 : x
  2. Step 2: Convert to fraction form
    2,287.97/3,431.94 = 827.12/x
  3. Step 3: Cross multiply
    2,287.97x = 3,431.94 × 827.12
  4. Step 4: Simplify right side
    2,287.97x = 2,838,609.05
  5. Step 5: Solve for x
    x = 2,838,609.05/2,287.97
  6. Step 6: Final answer
    x = 1,240.67

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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.