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Finding the Fourth Proportional to 1,997.75, 2,756.86 and 1,113.60

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Solution

The fourth proportional to 1,997.75, 2,756.86 and 1,113.60 is: 1,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.75 : 2,756.86 = 1,113.60 : x
  2. Step 2: Convert to fraction form
    1,997.75/2,756.86 = 1,113.60/x
  3. Step 3: Cross multiply
    1,997.75x = 2,756.86 × 1,113.60
  4. Step 4: Simplify right side
    1,997.75x = 3,070,039.30
  5. Step 5: Solve for x
    x = 3,070,039.30/1,997.75
  6. Step 6: Final answer
    x = 1,536.75

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