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Finding the Fourth Proportional to 1,981.98, 2,970.20 and 1,687.95

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Solution

The fourth proportional to 1,981.98, 2,970.20 and 1,687.95 is: 2,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.98 : 2,970.20 = 1,687.95 : x
  2. Step 2: Convert to fraction form
    1,981.98/2,970.20 = 1,687.95/x
  3. Step 3: Cross multiply
    1,981.98x = 2,970.20 × 1,687.95
  4. Step 4: Simplify right side
    1,981.98x = 5,013,553.31
  5. Step 5: Solve for x
    x = 5,013,553.31/1,981.98
  6. Step 6: Final answer
    x = 2,529.57

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