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Finding the Fourth Proportional to 2,697.90, 3,724.94 and 2,067.31

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Solution

The fourth proportional to 2,697.90, 3,724.94 and 2,067.31 is: 2,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.90 : 3,724.94 = 2,067.31 : x
  2. Step 2: Convert to fraction form
    2,697.90/3,724.94 = 2,067.31/x
  3. Step 3: Cross multiply
    2,697.90x = 3,724.94 × 2,067.31
  4. Step 4: Simplify right side
    2,697.90x = 7,700,605.71
  5. Step 5: Solve for x
    x = 7,700,605.71/2,697.90
  6. Step 6: Final answer
    x = 2,854.30

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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.