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Finding the Fourth Proportional to 1,986.69, 2,978.17 and 946.15

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Solution

The fourth proportional to 1,986.69, 2,978.17 and 946.15 is: 1,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.69 : 2,978.17 = 946.15 : x
  2. Step 2: Convert to fraction form
    1,986.69/2,978.17 = 946.15/x
  3. Step 3: Cross multiply
    1,986.69x = 2,978.17 × 946.15
  4. Step 4: Simplify right side
    1,986.69x = 2,817,785.73
  5. Step 5: Solve for x
    x = 2,817,785.73/1,986.69
  6. Step 6: Final answer
    x = 1,418.33

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