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Finding the Fourth Proportional to 1,998.20, 2,997.78 and 765.60

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Solution

The fourth proportional to 1,998.20, 2,997.78 and 765.60 is: 1,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.20 : 2,997.78 = 765.60 : x
  2. Step 2: Convert to fraction form
    1,998.20/2,997.78 = 765.60/x
  3. Step 3: Cross multiply
    1,998.20x = 2,997.78 × 765.60
  4. Step 4: Simplify right side
    1,998.20x = 2,295,100.37
  5. Step 5: Solve for x
    x = 2,295,100.37/1,998.20
  6. Step 6: Final answer
    x = 1,148.58

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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.