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Finding the Fourth Proportional to 2,093.88, 3,140.39 and 1,989.80

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Solution

The fourth proportional to 2,093.88, 3,140.39 and 1,989.80 is: 2,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.88 : 3,140.39 = 1,989.80 : x
  2. Step 2: Convert to fraction form
    2,093.88/3,140.39 = 1,989.80/x
  3. Step 3: Cross multiply
    2,093.88x = 3,140.39 × 1,989.80
  4. Step 4: Simplify right side
    2,093.88x = 6,248,748.02
  5. Step 5: Solve for x
    x = 6,248,748.02/2,093.88
  6. Step 6: Final answer
    x = 2,984.29

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