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Finding the Fourth Proportional to 1,997.73, 2,757.21 and 1,158.30

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Solution

The fourth proportional to 1,997.73, 2,757.21 and 1,158.30 is: 1,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.73 : 2,757.21 = 1,158.30 : x
  2. Step 2: Convert to fraction form
    1,997.73/2,757.21 = 1,158.30/x
  3. Step 3: Cross multiply
    1,997.73x = 2,757.21 × 1,158.30
  4. Step 4: Simplify right side
    1,997.73x = 3,193,676.34
  5. Step 5: Solve for x
    x = 3,193,676.34/1,997.73
  6. Step 6: Final answer
    x = 1,598.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.