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Finding the Fourth Proportional to 1,996.50, 2,992.70 and 827.32

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Solution

The fourth proportional to 1,996.50, 2,992.70 and 827.32 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.50 : 2,992.70 = 827.32 : x
  2. Step 2: Convert to fraction form
    1,996.50/2,992.70 = 827.32/x
  3. Step 3: Cross multiply
    1,996.50x = 2,992.70 × 827.32
  4. Step 4: Simplify right side
    1,996.50x = 2,475,920.56
  5. Step 5: Solve for x
    x = 2,475,920.56/1,996.50
  6. Step 6: Final answer
    x = 1,240.13

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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.