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Finding the Fourth Proportional to 1,512.44, 2,267.22 and 827

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Solution

The fourth proportional to 1,512.44, 2,267.22 and 827 is: 1,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.44 : 2,267.22 = 827 : x
  2. Step 2: Convert to fraction form
    1,512.44/2,267.22 = 827/x
  3. Step 3: Cross multiply
    1,512.44x = 2,267.22 × 827
  4. Step 4: Simplify right side
    1,512.44x = 1,874,990.94
  5. Step 5: Solve for x
    x = 1,874,990.94/1,512.44
  6. Step 6: Final answer
    x = 1,239.71

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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.