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Finding the Fourth Proportional to 2,578.28, 3,868.11 and 1,097.57

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Solution

The fourth proportional to 2,578.28, 3,868.11 and 1,097.57 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.28 : 3,868.11 = 1,097.57 : x
  2. Step 2: Convert to fraction form
    2,578.28/3,868.11 = 1,097.57/x
  3. Step 3: Cross multiply
    2,578.28x = 3,868.11 × 1,097.57
  4. Step 4: Simplify right side
    2,578.28x = 4,245,521.49
  5. Step 5: Solve for x
    x = 4,245,521.49/2,578.28
  6. Step 6: Final answer
    x = 1,646.65

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