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Finding the Fourth Proportional to 2,161.88, 3,244.03 and 1,067.16

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Solution

The fourth proportional to 2,161.88, 3,244.03 and 1,067.16 is: 1,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.88 : 3,244.03 = 1,067.16 : x
  2. Step 2: Convert to fraction form
    2,161.88/3,244.03 = 1,067.16/x
  3. Step 3: Cross multiply
    2,161.88x = 3,244.03 × 1,067.16
  4. Step 4: Simplify right side
    2,161.88x = 3,461,899.05
  5. Step 5: Solve for x
    x = 3,461,899.05/2,161.88
  6. Step 6: Final answer
    x = 1,601.34

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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.