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Finding the Fourth Proportional to 2,584.54, 3,875.79 and 1,122.69

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Solution

The fourth proportional to 2,584.54, 3,875.79 and 1,122.69 is: 1,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.54 : 3,875.79 = 1,122.69 : x
  2. Step 2: Convert to fraction form
    2,584.54/3,875.79 = 1,122.69/x
  3. Step 3: Cross multiply
    2,584.54x = 3,875.79 × 1,122.69
  4. Step 4: Simplify right side
    2,584.54x = 4,351,310.68
  5. Step 5: Solve for x
    x = 4,351,310.68/2,584.54
  6. Step 6: Final answer
    x = 1,683.60

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