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Finding the Fourth Proportional to 1,751.28, 2,626.97 and 827.27

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Solution

The fourth proportional to 1,751.28, 2,626.97 and 827.27 is: 1,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.28 : 2,626.97 = 827.27 : x
  2. Step 2: Convert to fraction form
    1,751.28/2,626.97 = 827.27/x
  3. Step 3: Cross multiply
    1,751.28x = 2,626.97 × 827.27
  4. Step 4: Simplify right side
    1,751.28x = 2,173,206.05
  5. Step 5: Solve for x
    x = 2,173,206.05/1,751.28
  6. Step 6: Final answer
    x = 1,240.93

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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.