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Finding the Fourth Proportional to 1,974.20, 2,960.69 and 1,626.67

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Solution

The fourth proportional to 1,974.20, 2,960.69 and 1,626.67 is: 2,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.20 : 2,960.69 = 1,626.67 : x
  2. Step 2: Convert to fraction form
    1,974.20/2,960.69 = 1,626.67/x
  3. Step 3: Cross multiply
    1,974.20x = 2,960.69 × 1,626.67
  4. Step 4: Simplify right side
    1,974.20x = 4,816,062.27
  5. Step 5: Solve for x
    x = 4,816,062.27/1,974.20
  6. Step 6: Final answer
    x = 2,439.51

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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.