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Finding the Fourth Proportional to 2,381.82, 3,288.28 and 1,584.93

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Solution

The fourth proportional to 2,381.82, 3,288.28 and 1,584.93 is: 2,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.82 : 3,288.28 = 1,584.93 : x
  2. Step 2: Convert to fraction form
    2,381.82/3,288.28 = 1,584.93/x
  3. Step 3: Cross multiply
    2,381.82x = 3,288.28 × 1,584.93
  4. Step 4: Simplify right side
    2,381.82x = 5,211,693.62
  5. Step 5: Solve for x
    x = 5,211,693.62/2,381.82
  6. Step 6: Final answer
    x = 2,188.12

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