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Finding the Fourth Proportional to 3,218.14, 4,822.85 and 1,460.96

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Solution

The fourth proportional to 3,218.14, 4,822.85 and 1,460.96 is: 2,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.14 : 4,822.85 = 1,460.96 : x
  2. Step 2: Convert to fraction form
    3,218.14/4,822.85 = 1,460.96/x
  3. Step 3: Cross multiply
    3,218.14x = 4,822.85 × 1,460.96
  4. Step 4: Simplify right side
    3,218.14x = 7,045,990.94
  5. Step 5: Solve for x
    x = 7,045,990.94/3,218.14
  6. Step 6: Final answer
    x = 2,189.46

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