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Finding the Fourth Proportional to 2,958.69, 4,083.01 and 1,614.30

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Solution

The fourth proportional to 2,958.69, 4,083.01 and 1,614.30 is: 2,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.69 : 4,083.01 = 1,614.30 : x
  2. Step 2: Convert to fraction form
    2,958.69/4,083.01 = 1,614.30/x
  3. Step 3: Cross multiply
    2,958.69x = 4,083.01 × 1,614.30
  4. Step 4: Simplify right side
    2,958.69x = 6,591,183.70
  5. Step 5: Solve for x
    x = 6,591,183.70/2,958.69
  6. Step 6: Final answer
    x = 2,227.73

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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.