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Finding the Fourth Proportional to 1,998.41, 2,997.62 and 699.58

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Solution

The fourth proportional to 1,998.41, 2,997.62 and 699.58 is: 1,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.41 : 2,997.62 = 699.58 : x
  2. Step 2: Convert to fraction form
    1,998.41/2,997.62 = 699.58/x
  3. Step 3: Cross multiply
    1,998.41x = 2,997.62 × 699.58
  4. Step 4: Simplify right side
    1,998.41x = 2,097,069.25
  5. Step 5: Solve for x
    x = 2,097,069.25/1,998.41
  6. Step 6: Final answer
    x = 1,049.37

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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.