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Finding the Fourth Proportional to 1,846.48, 2,767.28 and 1,067

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Solution

The fourth proportional to 1,846.48, 2,767.28 and 1,067 is: 1,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.48 : 2,767.28 = 1,067 : x
  2. Step 2: Convert to fraction form
    1,846.48/2,767.28 = 1,067/x
  3. Step 3: Cross multiply
    1,846.48x = 2,767.28 × 1,067
  4. Step 4: Simplify right side
    1,846.48x = 2,952,687.76
  5. Step 5: Solve for x
    x = 2,952,687.76/1,846.48
  6. Step 6: Final answer
    x = 1,599.09

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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.