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Finding the Fourth Proportional to 1,978.08, 2,729.64 and 1,093.86

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Solution

The fourth proportional to 1,978.08, 2,729.64 and 1,093.86 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.08 : 2,729.64 = 1,093.86 : x
  2. Step 2: Convert to fraction form
    1,978.08/2,729.64 = 1,093.86/x
  3. Step 3: Cross multiply
    1,978.08x = 2,729.64 × 1,093.86
  4. Step 4: Simplify right side
    1,978.08x = 2,985,844.01
  5. Step 5: Solve for x
    x = 2,985,844.01/1,978.08
  6. Step 6: Final answer
    x = 1,509.47

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