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Finding the Fourth Proportional to 2,183.91, 3,273.44 and 884.67

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Solution

The fourth proportional to 2,183.91, 3,273.44 and 884.67 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.91 : 3,273.44 = 884.67 : x
  2. Step 2: Convert to fraction form
    2,183.91/3,273.44 = 884.67/x
  3. Step 3: Cross multiply
    2,183.91x = 3,273.44 × 884.67
  4. Step 4: Simplify right side
    2,183.91x = 2,895,909.74
  5. Step 5: Solve for x
    x = 2,895,909.74/2,183.91
  6. Step 6: Final answer
    x = 1,326.02

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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.