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Finding the Fourth Proportional to 1,687.95, 2,519.43 and 1,584.08

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Solution

The fourth proportional to 1,687.95, 2,519.43 and 1,584.08 is: 2,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.95 : 2,519.43 = 1,584.08 : x
  2. Step 2: Convert to fraction form
    1,687.95/2,519.43 = 1,584.08/x
  3. Step 3: Cross multiply
    1,687.95x = 2,519.43 × 1,584.08
  4. Step 4: Simplify right side
    1,687.95x = 3,990,966.08
  5. Step 5: Solve for x
    x = 3,990,966.08/1,687.95
  6. Step 6: Final answer
    x = 2,364.39

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