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Finding the Fourth Proportional to 2,169.43, 2,993.81 and 1,174.71

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Solution

The fourth proportional to 2,169.43, 2,993.81 and 1,174.71 is: 1,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.43 : 2,993.81 = 1,174.71 : x
  2. Step 2: Convert to fraction form
    2,169.43/2,993.81 = 1,174.71/x
  3. Step 3: Cross multiply
    2,169.43x = 2,993.81 × 1,174.71
  4. Step 4: Simplify right side
    2,169.43x = 3,516,856.97
  5. Step 5: Solve for x
    x = 3,516,856.97/2,169.43
  6. Step 6: Final answer
    x = 1,621.09

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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.