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Finding the Fourth Proportional to 2,713.71, 4,067.31 and 1,398.09

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Solution

The fourth proportional to 2,713.71, 4,067.31 and 1,398.09 is: 2,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.71 : 4,067.31 = 1,398.09 : x
  2. Step 2: Convert to fraction form
    2,713.71/4,067.31 = 1,398.09/x
  3. Step 3: Cross multiply
    2,713.71x = 4,067.31 × 1,398.09
  4. Step 4: Simplify right side
    2,713.71x = 5,686,465.44
  5. Step 5: Solve for x
    x = 5,686,465.44/2,713.71
  6. Step 6: Final answer
    x = 2,095.46

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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.