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Finding the Fourth Proportional to 1,794.22, 2,694.17 and 1,067.05

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Solution

The fourth proportional to 1,794.22, 2,694.17 and 1,067.05 is: 1,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.22 : 2,694.17 = 1,067.05 : x
  2. Step 2: Convert to fraction form
    1,794.22/2,694.17 = 1,067.05/x
  3. Step 3: Cross multiply
    1,794.22x = 2,694.17 × 1,067.05
  4. Step 4: Simplify right side
    1,794.22x = 2,874,814.10
  5. Step 5: Solve for x
    x = 2,874,814.10/1,794.22
  6. Step 6: Final answer
    x = 1,602.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.