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Finding the Fourth Proportional to 2,744.08, 3,786.48 and 1,564.84

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Solution

The fourth proportional to 2,744.08, 3,786.48 and 1,564.84 is: 2,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.08 : 3,786.48 = 1,564.84 : x
  2. Step 2: Convert to fraction form
    2,744.08/3,786.48 = 1,564.84/x
  3. Step 3: Cross multiply
    2,744.08x = 3,786.48 × 1,564.84
  4. Step 4: Simplify right side
    2,744.08x = 5,925,235.36
  5. Step 5: Solve for x
    x = 5,925,235.36/2,744.08
  6. Step 6: Final answer
    x = 2,159.28

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