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Finding the Fourth Proportional to 2,873.25, 3,964.80 and 1,614.09

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Solution

The fourth proportional to 2,873.25, 3,964.80 and 1,614.09 is: 2,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.25 : 3,964.80 = 1,614.09 : x
  2. Step 2: Convert to fraction form
    2,873.25/3,964.80 = 1,614.09/x
  3. Step 3: Cross multiply
    2,873.25x = 3,964.80 × 1,614.09
  4. Step 4: Simplify right side
    2,873.25x = 6,399,544.03
  5. Step 5: Solve for x
    x = 6,399,544.03/2,873.25
  6. Step 6: Final answer
    x = 2,227.28

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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.