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Finding the Fourth Proportional to 1,280.41, 1,919.42 and 1,166.29

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Solution

The fourth proportional to 1,280.41, 1,919.42 and 1,166.29 is: 1,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.41 : 1,919.42 = 1,166.29 : x
  2. Step 2: Convert to fraction form
    1,280.41/1,919.42 = 1,166.29/x
  3. Step 3: Cross multiply
    1,280.41x = 1,919.42 × 1,166.29
  4. Step 4: Simplify right side
    1,280.41x = 2,238,600.35
  5. Step 5: Solve for x
    x = 2,238,600.35/1,280.41
  6. Step 6: Final answer
    x = 1,748.35

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