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Finding the Fourth Proportional to 1,942.65, 2,912.49 and 969.44

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Solution

The fourth proportional to 1,942.65, 2,912.49 and 969.44 is: 1,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.65 : 2,912.49 = 969.44 : x
  2. Step 2: Convert to fraction form
    1,942.65/2,912.49 = 969.44/x
  3. Step 3: Cross multiply
    1,942.65x = 2,912.49 × 969.44
  4. Step 4: Simplify right side
    1,942.65x = 2,823,469.74
  5. Step 5: Solve for x
    x = 2,823,469.74/1,942.65
  6. Step 6: Final answer
    x = 1,453.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.