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Finding the Fourth Proportional to 1,280.91, 1,920.33 and 1,178.40

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Solution

The fourth proportional to 1,280.91, 1,920.33 and 1,178.40 is: 1,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.91 : 1,920.33 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    1,280.91/1,920.33 = 1,178.40/x
  3. Step 3: Cross multiply
    1,280.91x = 1,920.33 × 1,178.40
  4. Step 4: Simplify right side
    1,280.91x = 2,262,916.87
  5. Step 5: Solve for x
    x = 2,262,916.87/1,280.91
  6. Step 6: Final answer
    x = 1,766.65

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