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Finding the Fourth Proportional to 1,978.14, 2,729.94 and 1,093.98

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Solution

The fourth proportional to 1,978.14, 2,729.94 and 1,093.98 is: 1,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.14 : 2,729.94 = 1,093.98 : x
  2. Step 2: Convert to fraction form
    1,978.14/2,729.94 = 1,093.98/x
  3. Step 3: Cross multiply
    1,978.14x = 2,729.94 × 1,093.98
  4. Step 4: Simplify right side
    1,978.14x = 2,986,499.76
  5. Step 5: Solve for x
    x = 2,986,499.76/1,978.14
  6. Step 6: Final answer
    x = 1,509.75

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