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Finding the Fourth Proportional to 2,873.07, 3,964.82 and 1,614.15

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Solution

The fourth proportional to 2,873.07, 3,964.82 and 1,614.15 is: 2,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.07 : 3,964.82 = 1,614.15 : x
  2. Step 2: Convert to fraction form
    2,873.07/3,964.82 = 1,614.15/x
  3. Step 3: Cross multiply
    2,873.07x = 3,964.82 × 1,614.15
  4. Step 4: Simplify right side
    2,873.07x = 6,399,806.13
  5. Step 5: Solve for x
    x = 6,399,806.13/2,873.07
  6. Step 6: Final answer
    x = 2,227.51

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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.