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Finding the Fourth Proportional to 1,705.38, 2,558.79 and 1,569.17

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Solution

The fourth proportional to 1,705.38, 2,558.79 and 1,569.17 is: 2,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.38 : 2,558.79 = 1,569.17 : x
  2. Step 2: Convert to fraction form
    1,705.38/2,558.79 = 1,569.17/x
  3. Step 3: Cross multiply
    1,705.38x = 2,558.79 × 1,569.17
  4. Step 4: Simplify right side
    1,705.38x = 4,015,163.71
  5. Step 5: Solve for x
    x = 4,015,163.71/1,705.38
  6. Step 6: Final answer
    x = 2,354.41

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