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Finding the Fourth Proportional to 2,067.70, 3,103.80 and 835.96

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Solution

The fourth proportional to 2,067.70, 3,103.80 and 835.96 is: 1,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.70 : 3,103.80 = 835.96 : x
  2. Step 2: Convert to fraction form
    2,067.70/3,103.80 = 835.96/x
  3. Step 3: Cross multiply
    2,067.70x = 3,103.80 × 835.96
  4. Step 4: Simplify right side
    2,067.70x = 2,594,652.65
  5. Step 5: Solve for x
    x = 2,594,652.65/2,067.70
  6. Step 6: Final answer
    x = 1,254.85

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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.