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Finding the Fourth Proportional to 1,846.27, 2,769.41 and 691.75

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Solution

The fourth proportional to 1,846.27, 2,769.41 and 691.75 is: 1,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.27 : 2,769.41 = 691.75 : x
  2. Step 2: Convert to fraction form
    1,846.27/2,769.41 = 691.75/x
  3. Step 3: Cross multiply
    1,846.27x = 2,769.41 × 691.75
  4. Step 4: Simplify right side
    1,846.27x = 1,915,739.37
  5. Step 5: Solve for x
    x = 1,915,739.37/1,846.27
  6. Step 6: Final answer
    x = 1,037.63

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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.