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Finding the Fourth Proportional to 2,067.06, 3,100.35 and 835.02

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Solution

The fourth proportional to 2,067.06, 3,100.35 and 835.02 is: 1,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.06 : 3,100.35 = 835.02 : x
  2. Step 2: Convert to fraction form
    2,067.06/3,100.35 = 835.02/x
  3. Step 3: Cross multiply
    2,067.06x = 3,100.35 × 835.02
  4. Step 4: Simplify right side
    2,067.06x = 2,588,854.26
  5. Step 5: Solve for x
    x = 2,588,854.26/2,067.06
  6. Step 6: Final answer
    x = 1,252.43

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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.