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Finding the Fourth Proportional to 1,997.98, 2,998.32 and 699.46

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Solution

The fourth proportional to 1,997.98, 2,998.32 and 699.46 is: 1,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.98 : 2,998.32 = 699.46 : x
  2. Step 2: Convert to fraction form
    1,997.98/2,998.32 = 699.46/x
  3. Step 3: Cross multiply
    1,997.98x = 2,998.32 × 699.46
  4. Step 4: Simplify right side
    1,997.98x = 2,097,204.91
  5. Step 5: Solve for x
    x = 2,097,204.91/1,997.98
  6. Step 6: Final answer
    x = 1,049.66

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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.