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Finding the Fourth Proportional to 1,705.33, 2,556.33 and 1,055.71

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Solution

The fourth proportional to 1,705.33, 2,556.33 and 1,055.71 is: 1,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.33 : 2,556.33 = 1,055.71 : x
  2. Step 2: Convert to fraction form
    1,705.33/2,556.33 = 1,055.71/x
  3. Step 3: Cross multiply
    1,705.33x = 2,556.33 × 1,055.71
  4. Step 4: Simplify right side
    1,705.33x = 2,698,743.14
  5. Step 5: Solve for x
    x = 2,698,743.14/1,705.33
  6. Step 6: Final answer
    x = 1,582.53

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