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Finding the Fourth Proportional to 1,998.92, 2,996.49 and 1,073.09

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Solution

The fourth proportional to 1,998.92, 2,996.49 and 1,073.09 is: 1,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.92 : 2,996.49 = 1,073.09 : x
  2. Step 2: Convert to fraction form
    1,998.92/2,996.49 = 1,073.09/x
  3. Step 3: Cross multiply
    1,998.92x = 2,996.49 × 1,073.09
  4. Step 4: Simplify right side
    1,998.92x = 3,215,503.45
  5. Step 5: Solve for x
    x = 3,215,503.45/1,998.92
  6. Step 6: Final answer
    x = 1,608.62

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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.