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Finding the Fourth Proportional to 2,412.66, 3,618.98 and 1,584.95

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Solution

The fourth proportional to 2,412.66, 3,618.98 and 1,584.95 is: 2,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.66 : 3,618.98 = 1,584.95 : x
  2. Step 2: Convert to fraction form
    2,412.66/3,618.98 = 1,584.95/x
  3. Step 3: Cross multiply
    2,412.66x = 3,618.98 × 1,584.95
  4. Step 4: Simplify right side
    2,412.66x = 5,735,882.27
  5. Step 5: Solve for x
    x = 5,735,882.27/2,412.66
  6. Step 6: Final answer
    x = 2,377.41

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