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Finding the Fourth Proportional to 1,327.76, 1,831.20 and 1,152.80

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Solution

The fourth proportional to 1,327.76, 1,831.20 and 1,152.80 is: 1,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.76 : 1,831.20 = 1,152.80 : x
  2. Step 2: Convert to fraction form
    1,327.76/1,831.20 = 1,152.80/x
  3. Step 3: Cross multiply
    1,327.76x = 1,831.20 × 1,152.80
  4. Step 4: Simplify right side
    1,327.76x = 2,111,007.36
  5. Step 5: Solve for x
    x = 2,111,007.36/1,327.76
  6. Step 6: Final answer
    x = 1,589.90

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