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Finding the Fourth Proportional to 2,712.44, 4,067.10 and 1,249.76

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Solution

The fourth proportional to 2,712.44, 4,067.10 and 1,249.76 is: 1,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.44 : 4,067.10 = 1,249.76 : x
  2. Step 2: Convert to fraction form
    2,712.44/4,067.10 = 1,249.76/x
  3. Step 3: Cross multiply
    2,712.44x = 4,067.10 × 1,249.76
  4. Step 4: Simplify right side
    2,712.44x = 5,082,878.56
  5. Step 5: Solve for x
    x = 5,082,878.56/2,712.44
  6. Step 6: Final answer
    x = 1,873.92

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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.