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Finding the Fourth Proportional to 2,722.79, 4,084.59 and 873.74

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Solution

The fourth proportional to 2,722.79, 4,084.59 and 873.74 is: 1,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.79 : 4,084.59 = 873.74 : x
  2. Step 2: Convert to fraction form
    2,722.79/4,084.59 = 873.74/x
  3. Step 3: Cross multiply
    2,722.79x = 4,084.59 × 873.74
  4. Step 4: Simplify right side
    2,722.79x = 3,568,869.67
  5. Step 5: Solve for x
    x = 3,568,869.67/2,722.79
  6. Step 6: Final answer
    x = 1,310.74

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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.