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Finding the Fourth Proportional to 1,997.32, 2,998.20 and 1,177.12

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Solution

The fourth proportional to 1,997.32, 2,998.20 and 1,177.12 is: 1,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.32 : 2,998.20 = 1,177.12 : x
  2. Step 2: Convert to fraction form
    1,997.32/2,998.20 = 1,177.12/x
  3. Step 3: Cross multiply
    1,997.32x = 2,998.20 × 1,177.12
  4. Step 4: Simplify right side
    1,997.32x = 3,529,241.18
  5. Step 5: Solve for x
    x = 3,529,241.18/1,997.32
  6. Step 6: Final answer
    x = 1,766.99

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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.