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Finding the Fourth Proportional to 1,998.46, 2,997.74 and 699.93

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Solution

The fourth proportional to 1,998.46, 2,997.74 and 699.93 is: 1,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.46 : 2,997.74 = 699.93 : x
  2. Step 2: Convert to fraction form
    1,998.46/2,997.74 = 699.93/x
  3. Step 3: Cross multiply
    1,998.46x = 2,997.74 × 699.93
  4. Step 4: Simplify right side
    1,998.46x = 2,098,208.16
  5. Step 5: Solve for x
    x = 2,098,208.16/1,998.46
  6. Step 6: Final answer
    x = 1,049.91

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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.