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Finding the Fourth Proportional to 2,168.97, 3,255.59 and 936.81

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Solution

The fourth proportional to 2,168.97, 3,255.59 and 936.81 is: 1,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.97 : 3,255.59 = 936.81 : x
  2. Step 2: Convert to fraction form
    2,168.97/3,255.59 = 936.81/x
  3. Step 3: Cross multiply
    2,168.97x = 3,255.59 × 936.81
  4. Step 4: Simplify right side
    2,168.97x = 3,049,864.58
  5. Step 5: Solve for x
    x = 3,049,864.58/2,168.97
  6. Step 6: Final answer
    x = 1,406.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.