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Finding the Fourth Proportional to 1,705.29, 2,556.90 and 1,112.75

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Solution

The fourth proportional to 1,705.29, 2,556.90 and 1,112.75 is: 1,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.29 : 2,556.90 = 1,112.75 : x
  2. Step 2: Convert to fraction form
    1,705.29/2,556.90 = 1,112.75/x
  3. Step 3: Cross multiply
    1,705.29x = 2,556.90 × 1,112.75
  4. Step 4: Simplify right side
    1,705.29x = 2,845,190.48
  5. Step 5: Solve for x
    x = 2,845,190.48/1,705.29
  6. Step 6: Final answer
    x = 1,668.45

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