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Finding the Fourth Proportional to 2,554.65, 3,828.43 and 1,164.59

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Solution

The fourth proportional to 2,554.65, 3,828.43 and 1,164.59 is: 1,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.65 : 3,828.43 = 1,164.59 : x
  2. Step 2: Convert to fraction form
    2,554.65/3,828.43 = 1,164.59/x
  3. Step 3: Cross multiply
    2,554.65x = 3,828.43 × 1,164.59
  4. Step 4: Simplify right side
    2,554.65x = 4,458,551.29
  5. Step 5: Solve for x
    x = 4,458,551.29/2,554.65
  6. Step 6: Final answer
    x = 1,745.27

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