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Finding the Fourth Proportional to 2,805.17, 3,874.23 and 2,183.22

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Solution

The fourth proportional to 2,805.17, 3,874.23 and 2,183.22 is: 3,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.17 : 3,874.23 = 2,183.22 : x
  2. Step 2: Convert to fraction form
    2,805.17/3,874.23 = 2,183.22/x
  3. Step 3: Cross multiply
    2,805.17x = 3,874.23 × 2,183.22
  4. Step 4: Simplify right side
    2,805.17x = 8,458,296.42
  5. Step 5: Solve for x
    x = 8,458,296.42/2,805.17
  6. Step 6: Final answer
    x = 3,015.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.