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Finding the Fourth Proportional to 2,659.44, 3,669.72 and 1,540.16

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Solution

The fourth proportional to 2,659.44, 3,669.72 and 1,540.16 is: 2,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.44 : 3,669.72 = 1,540.16 : x
  2. Step 2: Convert to fraction form
    2,659.44/3,669.72 = 1,540.16/x
  3. Step 3: Cross multiply
    2,659.44x = 3,669.72 × 1,540.16
  4. Step 4: Simplify right side
    2,659.44x = 5,651,955.96
  5. Step 5: Solve for x
    x = 5,651,955.96/2,659.44
  6. Step 6: Final answer
    x = 2,125.24

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