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Finding the Fourth Proportional to 2,843.91, 4,267.89 and 1,593.23

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Solution

The fourth proportional to 2,843.91, 4,267.89 and 1,593.23 is: 2,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.91 : 4,267.89 = 1,593.23 : x
  2. Step 2: Convert to fraction form
    2,843.91/4,267.89 = 1,593.23/x
  3. Step 3: Cross multiply
    2,843.91x = 4,267.89 × 1,593.23
  4. Step 4: Simplify right side
    2,843.91x = 6,799,709.05
  5. Step 5: Solve for x
    x = 6,799,709.05/2,843.91
  6. Step 6: Final answer
    x = 2,390.97

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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.