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Finding the Fourth Proportional to 1,581.97, 2,184.15 and 1,415.90

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Solution

The fourth proportional to 1,581.97, 2,184.15 and 1,415.90 is: 1,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.97 : 2,184.15 = 1,415.90 : x
  2. Step 2: Convert to fraction form
    1,581.97/2,184.15 = 1,415.90/x
  3. Step 3: Cross multiply
    1,581.97x = 2,184.15 × 1,415.90
  4. Step 4: Simplify right side
    1,581.97x = 3,092,519.98
  5. Step 5: Solve for x
    x = 3,092,519.98/1,581.97
  6. Step 6: Final answer
    x = 1,954.85

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