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Finding the Fourth Proportional to 2,067.02, 3,103.60 and 836.83

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Solution

The fourth proportional to 2,067.02, 3,103.60 and 836.83 is: 1,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.02 : 3,103.60 = 836.83 : x
  2. Step 2: Convert to fraction form
    2,067.02/3,103.60 = 836.83/x
  3. Step 3: Cross multiply
    2,067.02x = 3,103.60 × 836.83
  4. Step 4: Simplify right side
    2,067.02x = 2,597,185.59
  5. Step 5: Solve for x
    x = 2,597,185.59/2,067.02
  6. Step 6: Final answer
    x = 1,256.49

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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.