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Finding the Fourth Proportional to 2,183.08, 3,275.82 and 884.44

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Solution

The fourth proportional to 2,183.08, 3,275.82 and 884.44 is: 1,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.08 : 3,275.82 = 884.44 : x
  2. Step 2: Convert to fraction form
    2,183.08/3,275.82 = 884.44/x
  3. Step 3: Cross multiply
    2,183.08x = 3,275.82 × 884.44
  4. Step 4: Simplify right side
    2,183.08x = 2,897,266.24
  5. Step 5: Solve for x
    x = 2,897,266.24/2,183.08
  6. Step 6: Final answer
    x = 1,327.15

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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.