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Finding the Fourth Proportional to 1,694.42, 2,339.17 and 1,169.54

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Solution

The fourth proportional to 1,694.42, 2,339.17 and 1,169.54 is: 1,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.42 : 2,339.17 = 1,169.54 : x
  2. Step 2: Convert to fraction form
    1,694.42/2,339.17 = 1,169.54/x
  3. Step 3: Cross multiply
    1,694.42x = 2,339.17 × 1,169.54
  4. Step 4: Simplify right side
    1,694.42x = 2,735,738.26
  5. Step 5: Solve for x
    x = 2,735,738.26/1,694.42
  6. Step 6: Final answer
    x = 1,614.56

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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.