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Finding the Fourth Proportional to 1,705.16, 2,553.99 and 1,409.31

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Solution

The fourth proportional to 1,705.16, 2,553.99 and 1,409.31 is: 2,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.16 : 2,553.99 = 1,409.31 : x
  2. Step 2: Convert to fraction form
    1,705.16/2,553.99 = 1,409.31/x
  3. Step 3: Cross multiply
    1,705.16x = 2,553.99 × 1,409.31
  4. Step 4: Simplify right side
    1,705.16x = 3,599,343.83
  5. Step 5: Solve for x
    x = 3,599,343.83/1,705.16
  6. Step 6: Final answer
    x = 2,110.86

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