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Finding the Fourth Proportional to 1,969.94, 2,717.97 and 1,183.43

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Solution

The fourth proportional to 1,969.94, 2,717.97 and 1,183.43 is: 1,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.94 : 2,717.97 = 1,183.43 : x
  2. Step 2: Convert to fraction form
    1,969.94/2,717.97 = 1,183.43/x
  3. Step 3: Cross multiply
    1,969.94x = 2,717.97 × 1,183.43
  4. Step 4: Simplify right side
    1,969.94x = 3,216,527.24
  5. Step 5: Solve for x
    x = 3,216,527.24/1,969.94
  6. Step 6: Final answer
    x = 1,632.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.