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Finding the Fourth Proportional to 2,722.92, 4,084.64 and 873.96

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Solution

The fourth proportional to 2,722.92, 4,084.64 and 873.96 is: 1,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.92 : 4,084.64 = 873.96 : x
  2. Step 2: Convert to fraction form
    2,722.92/4,084.64 = 873.96/x
  3. Step 3: Cross multiply
    2,722.92x = 4,084.64 × 873.96
  4. Step 4: Simplify right side
    2,722.92x = 3,569,811.97
  5. Step 5: Solve for x
    x = 3,569,811.97/2,722.92
  6. Step 6: Final answer
    x = 1,311.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.