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Finding the Fourth Proportional to 2,305.78, 3,456.24 and 1,659.40

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Solution

The fourth proportional to 2,305.78, 3,456.24 and 1,659.40 is: 2,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.78 : 3,456.24 = 1,659.40 : x
  2. Step 2: Convert to fraction form
    2,305.78/3,456.24 = 1,659.40/x
  3. Step 3: Cross multiply
    2,305.78x = 3,456.24 × 1,659.40
  4. Step 4: Simplify right side
    2,305.78x = 5,735,284.66
  5. Step 5: Solve for x
    x = 5,735,284.66/2,305.78
  6. Step 6: Final answer
    x = 2,487.35

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