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Finding the Fourth Proportional to 2,873.26, 3,964.63 and 1,614.25

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Solution

The fourth proportional to 2,873.26, 3,964.63 and 1,614.25 is: 2,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.26 : 3,964.63 = 1,614.25 : x
  2. Step 2: Convert to fraction form
    2,873.26/3,964.63 = 1,614.25/x
  3. Step 3: Cross multiply
    2,873.26x = 3,964.63 × 1,614.25
  4. Step 4: Simplify right side
    2,873.26x = 6,399,903.98
  5. Step 5: Solve for x
    x = 6,399,903.98/2,873.26
  6. Step 6: Final answer
    x = 2,227.40

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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.