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Finding the Fourth Proportional to 1,223.04, 1,831.80 and 946.93

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Solution

The fourth proportional to 1,223.04, 1,831.80 and 946.93 is: 1,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,831.80 = 946.93 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,831.80 = 946.93/x
  3. Step 3: Cross multiply
    1,223.04x = 1,831.80 × 946.93
  4. Step 4: Simplify right side
    1,223.04x = 1,734,586.37
  5. Step 5: Solve for x
    x = 1,734,586.37/1,223.04
  6. Step 6: Final answer
    x = 1,418.26

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