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Finding the Fourth Proportional to 2,207.68, 3,311.67 and 820.99

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Solution

The fourth proportional to 2,207.68, 3,311.67 and 820.99 is: 1,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.68 : 3,311.67 = 820.99 : x
  2. Step 2: Convert to fraction form
    2,207.68/3,311.67 = 820.99/x
  3. Step 3: Cross multiply
    2,207.68x = 3,311.67 × 820.99
  4. Step 4: Simplify right side
    2,207.68x = 2,718,847.95
  5. Step 5: Solve for x
    x = 2,718,847.95/2,207.68
  6. Step 6: Final answer
    x = 1,231.54

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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.