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Finding the Fourth Proportional to 2,093.58, 3,142.80 and 1,978.56

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Solution

The fourth proportional to 2,093.58, 3,142.80 and 1,978.56 is: 2,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.58 : 3,142.80 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    2,093.58/3,142.80 = 1,978.56/x
  3. Step 3: Cross multiply
    2,093.58x = 3,142.80 × 1,978.56
  4. Step 4: Simplify right side
    2,093.58x = 6,218,218.37
  5. Step 5: Solve for x
    x = 6,218,218.37/2,093.58
  6. Step 6: Final answer
    x = 2,970.14

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