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Finding the Fourth Proportional to 2,316.47, 3,198.22 and 2,067.36

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Solution

The fourth proportional to 2,316.47, 3,198.22 and 2,067.36 is: 2,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.47 : 3,198.22 = 2,067.36 : x
  2. Step 2: Convert to fraction form
    2,316.47/3,198.22 = 2,067.36/x
  3. Step 3: Cross multiply
    2,316.47x = 3,198.22 × 2,067.36
  4. Step 4: Simplify right side
    2,316.47x = 6,611,872.10
  5. Step 5: Solve for x
    x = 6,611,872.10/2,316.47
  6. Step 6: Final answer
    x = 2,854.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.