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Finding the Fourth Proportional to 2,067.93, 3,103.11 and 770.31

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Solution

The fourth proportional to 2,067.93, 3,103.11 and 770.31 is: 1,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.93 : 3,103.11 = 770.31 : x
  2. Step 2: Convert to fraction form
    2,067.93/3,103.11 = 770.31/x
  3. Step 3: Cross multiply
    2,067.93x = 3,103.11 × 770.31
  4. Step 4: Simplify right side
    2,067.93x = 2,390,356.66
  5. Step 5: Solve for x
    x = 2,390,356.66/2,067.93
  6. Step 6: Final answer
    x = 1,155.92

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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.