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Finding the Fourth Proportional to 1,684.86, 2,522.97 and 1,409.46

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Solution

The fourth proportional to 1,684.86, 2,522.97 and 1,409.46 is: 2,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.86 : 2,522.97 = 1,409.46 : x
  2. Step 2: Convert to fraction form
    1,684.86/2,522.97 = 1,409.46/x
  3. Step 3: Cross multiply
    1,684.86x = 2,522.97 × 1,409.46
  4. Step 4: Simplify right side
    1,684.86x = 3,556,025.30
  5. Step 5: Solve for x
    x = 3,556,025.30/1,684.86
  6. Step 6: Final answer
    x = 2,110.58

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