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Finding the Fourth Proportional to 1,280.10, 1,922.32 and 1,214.34

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Solution

The fourth proportional to 1,280.10, 1,922.32 and 1,214.34 is: 1,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.10 : 1,922.32 = 1,214.34 : x
  2. Step 2: Convert to fraction form
    1,280.10/1,922.32 = 1,214.34/x
  3. Step 3: Cross multiply
    1,280.10x = 1,922.32 × 1,214.34
  4. Step 4: Simplify right side
    1,280.10x = 2,334,348.36
  5. Step 5: Solve for x
    x = 2,334,348.36/1,280.10
  6. Step 6: Final answer
    x = 1,823.56

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