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Finding the Fourth Proportional to 1,998.70, 2,997.12 and 682.10

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Solution

The fourth proportional to 1,998.70, 2,997.12 and 682.10 is: 1,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.70 : 2,997.12 = 682.10 : x
  2. Step 2: Convert to fraction form
    1,998.70/2,997.12 = 682.10/x
  3. Step 3: Cross multiply
    1,998.70x = 2,997.12 × 682.10
  4. Step 4: Simplify right side
    1,998.70x = 2,044,334.36
  5. Step 5: Solve for x
    x = 2,044,334.36/1,998.70
  6. Step 6: Final answer
    x = 1,022.83

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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.