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Finding the Fourth Proportional to 2,626.56, 3,940.58 and 871.73

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Solution

The fourth proportional to 2,626.56, 3,940.58 and 871.73 is: 1,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.56 : 3,940.58 = 871.73 : x
  2. Step 2: Convert to fraction form
    2,626.56/3,940.58 = 871.73/x
  3. Step 3: Cross multiply
    2,626.56x = 3,940.58 × 871.73
  4. Step 4: Simplify right side
    2,626.56x = 3,435,119.06
  5. Step 5: Solve for x
    x = 3,435,119.06/2,626.56
  6. Step 6: Final answer
    x = 1,307.84

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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.