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Finding the Fourth Proportional to 1,987.12, 2,978.52 and 831.52

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Solution

The fourth proportional to 1,987.12, 2,978.52 and 831.52 is: 1,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.12 : 2,978.52 = 831.52 : x
  2. Step 2: Convert to fraction form
    1,987.12/2,978.52 = 831.52/x
  3. Step 3: Cross multiply
    1,987.12x = 2,978.52 × 831.52
  4. Step 4: Simplify right side
    1,987.12x = 2,476,698.95
  5. Step 5: Solve for x
    x = 2,476,698.95/1,987.12
  6. Step 6: Final answer
    x = 1,246.38

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