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Finding the Fourth Proportional to 2,843.82, 4,266 and 1,088.82

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Solution

The fourth proportional to 2,843.82, 4,266 and 1,088.82 is: 1,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.82 : 4,266 = 1,088.82 : x
  2. Step 2: Convert to fraction form
    2,843.82/4,266 = 1,088.82/x
  3. Step 3: Cross multiply
    2,843.82x = 4,266 × 1,088.82
  4. Step 4: Simplify right side
    2,843.82x = 4,644,906.12
  5. Step 5: Solve for x
    x = 4,644,906.12/2,843.82
  6. Step 6: Final answer
    x = 1,633.33

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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.