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Finding the Fourth Proportional to 2,627.46, 3,940.89 and 872.04

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Solution

The fourth proportional to 2,627.46, 3,940.89 and 872.04 is: 1,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.46 : 3,940.89 = 872.04 : x
  2. Step 2: Convert to fraction form
    2,627.46/3,940.89 = 872.04/x
  3. Step 3: Cross multiply
    2,627.46x = 3,940.89 × 872.04
  4. Step 4: Simplify right side
    2,627.46x = 3,436,613.72
  5. Step 5: Solve for x
    x = 3,436,613.72/2,627.46
  6. Step 6: Final answer
    x = 1,307.96

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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.