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Finding the Fourth Proportional to 2,626.27, 3,942.13 and 1,166.44

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Solution

The fourth proportional to 2,626.27, 3,942.13 and 1,166.44 is: 1,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.27 : 3,942.13 = 1,166.44 : x
  2. Step 2: Convert to fraction form
    2,626.27/3,942.13 = 1,166.44/x
  3. Step 3: Cross multiply
    2,626.27x = 3,942.13 × 1,166.44
  4. Step 4: Simplify right side
    2,626.27x = 4,598,258.12
  5. Step 5: Solve for x
    x = 4,598,258.12/2,626.27
  6. Step 6: Final answer
    x = 1,750.87

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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.