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Finding the Fourth Proportional to 1,868.56, 2,578.49 and 1,071.71

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Solution

The fourth proportional to 1,868.56, 2,578.49 and 1,071.71 is: 1,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.56 : 2,578.49 = 1,071.71 : x
  2. Step 2: Convert to fraction form
    1,868.56/2,578.49 = 1,071.71/x
  3. Step 3: Cross multiply
    1,868.56x = 2,578.49 × 1,071.71
  4. Step 4: Simplify right side
    1,868.56x = 2,763,388.96
  5. Step 5: Solve for x
    x = 2,763,388.96/1,868.56
  6. Step 6: Final answer
    x = 1,478.89

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