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Finding the Fourth Proportional to 2,391.54, 3,584.75 and 1,705.46

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Solution

The fourth proportional to 2,391.54, 3,584.75 and 1,705.46 is: 2,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.54 : 3,584.75 = 1,705.46 : x
  2. Step 2: Convert to fraction form
    2,391.54/3,584.75 = 1,705.46/x
  3. Step 3: Cross multiply
    2,391.54x = 3,584.75 × 1,705.46
  4. Step 4: Simplify right side
    2,391.54x = 6,113,647.74
  5. Step 5: Solve for x
    x = 6,113,647.74/2,391.54
  6. Step 6: Final answer
    x = 2,556.36

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