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Finding the Fourth Proportional to 2,547.24, 3,828.24 and 1,687.02

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Solution

The fourth proportional to 2,547.24, 3,828.24 and 1,687.02 is: 2,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.24 : 3,828.24 = 1,687.02 : x
  2. Step 2: Convert to fraction form
    2,547.24/3,828.24 = 1,687.02/x
  3. Step 3: Cross multiply
    2,547.24x = 3,828.24 × 1,687.02
  4. Step 4: Simplify right side
    2,547.24x = 6,458,317.44
  5. Step 5: Solve for x
    x = 6,458,317.44/2,547.24
  6. Step 6: Final answer
    x = 2,535.42

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