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Finding the Fourth Proportional to 1,998.16, 2,997.74 and 699.59

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Solution

The fourth proportional to 1,998.16, 2,997.74 and 699.59 is: 1,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.16 : 2,997.74 = 699.59 : x
  2. Step 2: Convert to fraction form
    1,998.16/2,997.74 = 699.59/x
  3. Step 3: Cross multiply
    1,998.16x = 2,997.74 × 699.59
  4. Step 4: Simplify right side
    1,998.16x = 2,097,198.17
  5. Step 5: Solve for x
    x = 2,097,198.17/1,998.16
  6. Step 6: Final answer
    x = 1,049.57

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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.