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Finding the Fourth Proportional to 1,997.96, 2,757.14 and 1,113.86

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Solution

The fourth proportional to 1,997.96, 2,757.14 and 1,113.86 is: 1,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.96 : 2,757.14 = 1,113.86 : x
  2. Step 2: Convert to fraction form
    1,997.96/2,757.14 = 1,113.86/x
  3. Step 3: Cross multiply
    1,997.96x = 2,757.14 × 1,113.86
  4. Step 4: Simplify right side
    1,997.96x = 3,071,067.96
  5. Step 5: Solve for x
    x = 3,071,067.96/1,997.96
  6. Step 6: Final answer
    x = 1,537.10

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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.