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Finding the Fourth Proportional to 2,827.80, 4,241.70 and 2,098.80

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Solution

The fourth proportional to 2,827.80, 4,241.70 and 2,098.80 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.80 : 4,241.70 = 2,098.80 : x
  2. Step 2: Convert to fraction form
    2,827.80/4,241.70 = 2,098.80/x
  3. Step 3: Cross multiply
    2,827.80x = 4,241.70 × 2,098.80
  4. Step 4: Simplify right side
    2,827.80x = 8,902,479.96
  5. Step 5: Solve for x
    x = 8,902,479.96/2,827.80
  6. Step 6: Final answer
    x = 3,148.20

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