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Finding the Fourth Proportional to 1,997.24, 2,996.07 and 765.69

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Solution

The fourth proportional to 1,997.24, 2,996.07 and 765.69 is: 1,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.24 : 2,996.07 = 765.69 : x
  2. Step 2: Convert to fraction form
    1,997.24/2,996.07 = 765.69/x
  3. Step 3: Cross multiply
    1,997.24x = 2,996.07 × 765.69
  4. Step 4: Simplify right side
    1,997.24x = 2,294,057.01
  5. Step 5: Solve for x
    x = 2,294,057.01/1,997.24
  6. Step 6: Final answer
    x = 1,148.62

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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.