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Finding the Fourth Proportional to 1,997.42, 2,996.34 and 765.86

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Solution

The fourth proportional to 1,997.42, 2,996.34 and 765.86 is: 1,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.42 : 2,996.34 = 765.86 : x
  2. Step 2: Convert to fraction form
    1,997.42/2,996.34 = 765.86/x
  3. Step 3: Cross multiply
    1,997.42x = 2,996.34 × 765.86
  4. Step 4: Simplify right side
    1,997.42x = 2,294,784.44
  5. Step 5: Solve for x
    x = 2,294,784.44/1,997.42
  6. Step 6: Final answer
    x = 1,148.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.