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Finding the Fourth Proportional to 1,415.78, 2,121.54 and 1,280.91

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Solution

The fourth proportional to 1,415.78, 2,121.54 and 1,280.91 is: 1,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.78 : 2,121.54 = 1,280.91 : x
  2. Step 2: Convert to fraction form
    1,415.78/2,121.54 = 1,280.91/x
  3. Step 3: Cross multiply
    1,415.78x = 2,121.54 × 1,280.91
  4. Step 4: Simplify right side
    1,415.78x = 2,717,501.80
  5. Step 5: Solve for x
    x = 2,717,501.80/1,415.78
  6. Step 6: Final answer
    x = 1,919.44

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