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Finding the Fourth Proportional to 2,723.34, 4,084.79 and 873.96

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Solution

The fourth proportional to 2,723.34, 4,084.79 and 873.96 is: 1,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.34 : 4,084.79 = 873.96 : x
  2. Step 2: Convert to fraction form
    2,723.34/4,084.79 = 873.96/x
  3. Step 3: Cross multiply
    2,723.34x = 4,084.79 × 873.96
  4. Step 4: Simplify right side
    2,723.34x = 3,569,918.27
  5. Step 5: Solve for x
    x = 3,569,918.27/2,723.34
  6. Step 6: Final answer
    x = 1,310.86

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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.