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Finding the Fourth Proportional to 1,415.94, 1,949.12 and 1,226.82

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Solution

The fourth proportional to 1,415.94, 1,949.12 and 1,226.82 is: 1,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.94 : 1,949.12 = 1,226.82 : x
  2. Step 2: Convert to fraction form
    1,415.94/1,949.12 = 1,226.82/x
  3. Step 3: Cross multiply
    1,415.94x = 1,949.12 × 1,226.82
  4. Step 4: Simplify right side
    1,415.94x = 2,391,219.40
  5. Step 5: Solve for x
    x = 2,391,219.40/1,415.94
  6. Step 6: Final answer
    x = 1,688.79

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