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Finding the Fourth Proportional to 2,722.64, 4,084.64 and 873.75

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Solution

The fourth proportional to 2,722.64, 4,084.64 and 873.75 is: 1,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.64 : 4,084.64 = 873.75 : x
  2. Step 2: Convert to fraction form
    2,722.64/4,084.64 = 873.75/x
  3. Step 3: Cross multiply
    2,722.64x = 4,084.64 × 873.75
  4. Step 4: Simplify right side
    2,722.64x = 3,568,949.83
  5. Step 5: Solve for x
    x = 3,568,949.83/2,722.64
  6. Step 6: Final answer
    x = 1,310.84

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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.