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Finding the Fourth Proportional to 2,211.43, 3,315.15 and 823.80

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Solution

The fourth proportional to 2,211.43, 3,315.15 and 823.80 is: 1,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.43 : 3,315.15 = 823.80 : x
  2. Step 2: Convert to fraction form
    2,211.43/3,315.15 = 823.80/x
  3. Step 3: Cross multiply
    2,211.43x = 3,315.15 × 823.80
  4. Step 4: Simplify right side
    2,211.43x = 2,731,020.57
  5. Step 5: Solve for x
    x = 2,731,020.57/2,211.43
  6. Step 6: Final answer
    x = 1,234.96

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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.