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Finding the Fourth Proportional to 2,381.63, 3,566.84 and 1,408.41

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Solution

The fourth proportional to 2,381.63, 3,566.84 and 1,408.41 is: 2,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.63 : 3,566.84 = 1,408.41 : x
  2. Step 2: Convert to fraction form
    2,381.63/3,566.84 = 1,408.41/x
  3. Step 3: Cross multiply
    2,381.63x = 3,566.84 × 1,408.41
  4. Step 4: Simplify right side
    2,381.63x = 5,023,566.08
  5. Step 5: Solve for x
    x = 5,023,566.08/2,381.63
  6. Step 6: Final answer
    x = 2,109.30

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