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Finding the Fourth Proportional to 2,067.57, 3,097.71 and 2,016.54

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Solution

The fourth proportional to 2,067.57, 3,097.71 and 2,016.54 is: 3,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.57 : 3,097.71 = 2,016.54 : x
  2. Step 2: Convert to fraction form
    2,067.57/3,097.71 = 2,016.54/x
  3. Step 3: Cross multiply
    2,067.57x = 3,097.71 × 2,016.54
  4. Step 4: Simplify right side
    2,067.57x = 6,246,656.12
  5. Step 5: Solve for x
    x = 6,246,656.12/2,067.57
  6. Step 6: Final answer
    x = 3,021.25

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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.