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Finding the Fourth Proportional to 2,813.41, 4,216.07 and 2,067.16

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Solution

The fourth proportional to 2,813.41, 4,216.07 and 2,067.16 is: 3,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.41 : 4,216.07 = 2,067.16 : x
  2. Step 2: Convert to fraction form
    2,813.41/4,216.07 = 2,067.16/x
  3. Step 3: Cross multiply
    2,813.41x = 4,216.07 × 2,067.16
  4. Step 4: Simplify right side
    2,813.41x = 8,715,291.26
  5. Step 5: Solve for x
    x = 8,715,291.26/2,813.41
  6. Step 6: Final answer
    x = 3,097.77

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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.