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Finding the Fourth Proportional to 2,067.79, 3,100.71 and 801.93

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Solution

The fourth proportional to 2,067.79, 3,100.71 and 801.93 is: 1,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.79 : 3,100.71 = 801.93 : x
  2. Step 2: Convert to fraction form
    2,067.79/3,100.71 = 801.93/x
  3. Step 3: Cross multiply
    2,067.79x = 3,100.71 × 801.93
  4. Step 4: Simplify right side
    2,067.79x = 2,486,548.36
  5. Step 5: Solve for x
    x = 2,486,548.36/2,067.79
  6. Step 6: Final answer
    x = 1,202.51

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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.