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Finding the Fourth Proportional to 1,978.05, 2,729.64 and 1,093.83

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Solution

The fourth proportional to 1,978.05, 2,729.64 and 1,093.83 is: 1,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.05 : 2,729.64 = 1,093.83 : x
  2. Step 2: Convert to fraction form
    1,978.05/2,729.64 = 1,093.83/x
  3. Step 3: Cross multiply
    1,978.05x = 2,729.64 × 1,093.83
  4. Step 4: Simplify right side
    1,978.05x = 2,985,762.12
  5. Step 5: Solve for x
    x = 2,985,762.12/1,978.05
  6. Step 6: Final answer
    x = 1,509.45

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