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Finding the Fourth Proportional to 2,096.76, 3,137.64 and 1,972.20

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Solution

The fourth proportional to 2,096.76, 3,137.64 and 1,972.20 is: 2,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.76 : 3,137.64 = 1,972.20 : x
  2. Step 2: Convert to fraction form
    2,096.76/3,137.64 = 1,972.20/x
  3. Step 3: Cross multiply
    2,096.76x = 3,137.64 × 1,972.20
  4. Step 4: Simplify right side
    2,096.76x = 6,188,053.61
  5. Step 5: Solve for x
    x = 6,188,053.61/2,096.76
  6. Step 6: Final answer
    x = 2,951.25

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