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Finding the Fourth Proportional to 2,657.08, 3,979.44 and 2,564.80

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Solution

The fourth proportional to 2,657.08, 3,979.44 and 2,564.80 is: 3,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.08 : 3,979.44 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    2,657.08/3,979.44 = 2,564.80/x
  3. Step 3: Cross multiply
    2,657.08x = 3,979.44 × 2,564.80
  4. Step 4: Simplify right side
    2,657.08x = 10,206,467.71
  5. Step 5: Solve for x
    x = 10,206,467.71/2,657.08
  6. Step 6: Final answer
    x = 3,841.23

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