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Finding the Fourth Proportional to 2,540.91, 3,811.49 and 809.67

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Solution

The fourth proportional to 2,540.91, 3,811.49 and 809.67 is: 1,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.91 : 3,811.49 = 809.67 : x
  2. Step 2: Convert to fraction form
    2,540.91/3,811.49 = 809.67/x
  3. Step 3: Cross multiply
    2,540.91x = 3,811.49 × 809.67
  4. Step 4: Simplify right side
    2,540.91x = 3,086,049.11
  5. Step 5: Solve for x
    x = 3,086,049.11/2,540.91
  6. Step 6: Final answer
    x = 1,214.54

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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.