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Finding the Fourth Proportional to 1,984.77, 2,978.68 and 831.33

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Solution

The fourth proportional to 1,984.77, 2,978.68 and 831.33 is: 1,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.77 : 2,978.68 = 831.33 : x
  2. Step 2: Convert to fraction form
    1,984.77/2,978.68 = 831.33/x
  3. Step 3: Cross multiply
    1,984.77x = 2,978.68 × 831.33
  4. Step 4: Simplify right side
    1,984.77x = 2,476,261.89
  5. Step 5: Solve for x
    x = 2,476,261.89/1,984.77
  6. Step 6: Final answer
    x = 1,247.63

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