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Finding the Fourth Proportional to 1,998.42, 2,997.84 and 766.89

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Solution

The fourth proportional to 1,998.42, 2,997.84 and 766.89 is: 1,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.42 : 2,997.84 = 766.89 : x
  2. Step 2: Convert to fraction form
    1,998.42/2,997.84 = 766.89/x
  3. Step 3: Cross multiply
    1,998.42x = 2,997.84 × 766.89
  4. Step 4: Simplify right side
    1,998.42x = 2,299,013.52
  5. Step 5: Solve for x
    x = 2,299,013.52/1,998.42
  6. Step 6: Final answer
    x = 1,150.42

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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.