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Finding the Fourth Proportional to 1,983.47, 2,975.48 and 684.77

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Solution

The fourth proportional to 1,983.47, 2,975.48 and 684.77 is: 1,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.47 : 2,975.48 = 684.77 : x
  2. Step 2: Convert to fraction form
    1,983.47/2,975.48 = 684.77/x
  3. Step 3: Cross multiply
    1,983.47x = 2,975.48 × 684.77
  4. Step 4: Simplify right side
    1,983.47x = 2,037,501.14
  5. Step 5: Solve for x
    x = 2,037,501.14/1,983.47
  6. Step 6: Final answer
    x = 1,027.24

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