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Finding the Fourth Proportional to 1,705.44, 2,558.16 and 1,156.26

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Solution

The fourth proportional to 1,705.44, 2,558.16 and 1,156.26 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.44 : 2,558.16 = 1,156.26 : x
  2. Step 2: Convert to fraction form
    1,705.44/2,558.16 = 1,156.26/x
  3. Step 3: Cross multiply
    1,705.44x = 2,558.16 × 1,156.26
  4. Step 4: Simplify right side
    1,705.44x = 2,957,898.08
  5. Step 5: Solve for x
    x = 2,957,898.08/1,705.44
  6. Step 6: Final answer
    x = 1,734.39

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