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Finding the Fourth Proportional to 2,377.76, 3,561.20 and 2,000.80

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Solution

The fourth proportional to 2,377.76, 3,561.20 and 2,000.80 is: 2,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.76 : 3,561.20 = 2,000.80 : x
  2. Step 2: Convert to fraction form
    2,377.76/3,561.20 = 2,000.80/x
  3. Step 3: Cross multiply
    2,377.76x = 3,561.20 × 2,000.80
  4. Step 4: Simplify right side
    2,377.76x = 7,125,248.96
  5. Step 5: Solve for x
    x = 7,125,248.96/2,377.76
  6. Step 6: Final answer
    x = 2,996.62

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