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Finding the Fourth Proportional to 1,996.67, 2,994.49 and 827.00

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Solution

The fourth proportional to 1,996.67, 2,994.49 and 827.00 is: 1,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.67 : 2,994.49 = 827.00 : x
  2. Step 2: Convert to fraction form
    1,996.67/2,994.49 = 827.00/x
  3. Step 3: Cross multiply
    1,996.67x = 2,994.49 × 827.00
  4. Step 4: Simplify right side
    1,996.67x = 2,476,433.68
  5. Step 5: Solve for x
    x = 2,476,433.68/1,996.67
  6. Step 6: Final answer
    x = 1,240.28

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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.