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Finding the Fourth Proportional to 2,067.93, 3,102.00 and 835.19

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Solution

The fourth proportional to 2,067.93, 3,102.00 and 835.19 is: 1,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.93 : 3,102.00 = 835.19 : x
  2. Step 2: Convert to fraction form
    2,067.93/3,102.00 = 835.19/x
  3. Step 3: Cross multiply
    2,067.93x = 3,102.00 × 835.19
  4. Step 4: Simplify right side
    2,067.93x = 2,590,739.69
  5. Step 5: Solve for x
    x = 2,590,739.69/2,067.93
  6. Step 6: Final answer
    x = 1,252.82

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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.