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Finding the Fourth Proportional to 1,978.29, 2,965.14 and 1,004.40

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Solution

The fourth proportional to 1,978.29, 2,965.14 and 1,004.40 is: 1,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.29 : 2,965.14 = 1,004.40 : x
  2. Step 2: Convert to fraction form
    1,978.29/2,965.14 = 1,004.40/x
  3. Step 3: Cross multiply
    1,978.29x = 2,965.14 × 1,004.40
  4. Step 4: Simplify right side
    1,978.29x = 2,978,186.62
  5. Step 5: Solve for x
    x = 2,978,186.62/1,978.29
  6. Step 6: Final answer
    x = 1,505.43

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