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Finding the Fourth Proportional to 1,219.24, 1,824.54 and 928.36

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Solution

The fourth proportional to 1,219.24, 1,824.54 and 928.36 is: 1,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.24 : 1,824.54 = 928.36 : x
  2. Step 2: Convert to fraction form
    1,219.24/1,824.54 = 928.36/x
  3. Step 3: Cross multiply
    1,219.24x = 1,824.54 × 928.36
  4. Step 4: Simplify right side
    1,219.24x = 1,693,829.95
  5. Step 5: Solve for x
    x = 1,693,829.95/1,219.24
  6. Step 6: Final answer
    x = 1,389.25

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