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Finding the Fourth Proportional to 1,705.82, 2,557.02 and 1,090.22

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Solution

The fourth proportional to 1,705.82, 2,557.02 and 1,090.22 is: 1,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.82 : 2,557.02 = 1,090.22 : x
  2. Step 2: Convert to fraction form
    1,705.82/2,557.02 = 1,090.22/x
  3. Step 3: Cross multiply
    1,705.82x = 2,557.02 × 1,090.22
  4. Step 4: Simplify right side
    1,705.82x = 2,787,714.34
  5. Step 5: Solve for x
    x = 2,787,714.34/1,705.82
  6. Step 6: Final answer
    x = 1,634.24

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