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Finding the Fourth Proportional to 1,981.61, 2,969.64 and 1,687.58

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Solution

The fourth proportional to 1,981.61, 2,969.64 and 1,687.58 is: 2,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.61 : 2,969.64 = 1,687.58 : x
  2. Step 2: Convert to fraction form
    1,981.61/2,969.64 = 1,687.58/x
  3. Step 3: Cross multiply
    1,981.61x = 2,969.64 × 1,687.58
  4. Step 4: Simplify right side
    1,981.61x = 5,011,490.22
  5. Step 5: Solve for x
    x = 5,011,490.22/1,981.61
  6. Step 6: Final answer
    x = 2,529.01

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