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Finding the Fourth Proportional to 2,067.75, 3,097.78 and 1,026.56

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Solution

The fourth proportional to 2,067.75, 3,097.78 and 1,026.56 is: 1,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.75 : 3,097.78 = 1,026.56 : x
  2. Step 2: Convert to fraction form
    2,067.75/3,097.78 = 1,026.56/x
  3. Step 3: Cross multiply
    2,067.75x = 3,097.78 × 1,026.56
  4. Step 4: Simplify right side
    2,067.75x = 3,180,062.21
  5. Step 5: Solve for x
    x = 3,180,062.21/2,067.75
  6. Step 6: Final answer
    x = 1,537.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.