Home / 1,213.38-1,823.72-1,067.58

Finding the Fourth Proportional to 1,213.38, 1,823.72 and 1,067.58

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Solution

The fourth proportional to 1,213.38, 1,823.72 and 1,067.58 is: 1,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.38 : 1,823.72 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    1,213.38/1,823.72 = 1,067.58/x
  3. Step 3: Cross multiply
    1,213.38x = 1,823.72 × 1,067.58
  4. Step 4: Simplify right side
    1,213.38x = 1,946,961.66
  5. Step 5: Solve for x
    x = 1,946,961.66/1,213.38
  6. Step 6: Final answer
    x = 1,604.58

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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.