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Finding the Fourth Proportional to 2,093.80, 3,140.70 and 1,985.80

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Solution

The fourth proportional to 2,093.80, 3,140.70 and 1,985.80 is: 2,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.80 : 3,140.70 = 1,985.80 : x
  2. Step 2: Convert to fraction form
    2,093.80/3,140.70 = 1,985.80/x
  3. Step 3: Cross multiply
    2,093.80x = 3,140.70 × 1,985.80
  4. Step 4: Simplify right side
    2,093.80x = 6,236,802.06
  5. Step 5: Solve for x
    x = 6,236,802.06/2,093.80
  6. Step 6: Final answer
    x = 2,978.70

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