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Finding the Fourth Proportional to 2,569.28, 3,855.76 and 1,109.48

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Solution

The fourth proportional to 2,569.28, 3,855.76 and 1,109.48 is: 1,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.28 : 3,855.76 = 1,109.48 : x
  2. Step 2: Convert to fraction form
    2,569.28/3,855.76 = 1,109.48/x
  3. Step 3: Cross multiply
    2,569.28x = 3,855.76 × 1,109.48
  4. Step 4: Simplify right side
    2,569.28x = 4,277,866.55
  5. Step 5: Solve for x
    x = 4,277,866.55/2,569.28
  6. Step 6: Final answer
    x = 1,665.01

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