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Finding the Fourth Proportional to 2,632.80, 3,949.26 and 1,657.56

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Solution

The fourth proportional to 2,632.80, 3,949.26 and 1,657.56 is: 2,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.80 : 3,949.26 = 1,657.56 : x
  2. Step 2: Convert to fraction form
    2,632.80/3,949.26 = 1,657.56/x
  3. Step 3: Cross multiply
    2,632.80x = 3,949.26 × 1,657.56
  4. Step 4: Simplify right side
    2,632.80x = 6,546,135.41
  5. Step 5: Solve for x
    x = 6,546,135.41/2,632.80
  6. Step 6: Final answer
    x = 2,486.38

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