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Finding the Fourth Proportional to 1,584.15, 2,380.95 and 1,311.99

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Solution

The fourth proportional to 1,584.15, 2,380.95 and 1,311.99 is: 1,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.15 : 2,380.95 = 1,311.99 : x
  2. Step 2: Convert to fraction form
    1,584.15/2,380.95 = 1,311.99/x
  3. Step 3: Cross multiply
    1,584.15x = 2,380.95 × 1,311.99
  4. Step 4: Simplify right side
    1,584.15x = 3,123,782.59
  5. Step 5: Solve for x
    x = 3,123,782.59/1,584.15
  6. Step 6: Final answer
    x = 1,971.90

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