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Finding the Fourth Proportional to 2,107.72, 3,161.13 and 1,067.07

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Solution

The fourth proportional to 2,107.72, 3,161.13 and 1,067.07 is: 1,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.72 : 3,161.13 = 1,067.07 : x
  2. Step 2: Convert to fraction form
    2,107.72/3,161.13 = 1,067.07/x
  3. Step 3: Cross multiply
    2,107.72x = 3,161.13 × 1,067.07
  4. Step 4: Simplify right side
    2,107.72x = 3,373,154.84
  5. Step 5: Solve for x
    x = 3,373,154.84/2,107.72
  6. Step 6: Final answer
    x = 1,600.38

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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.