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Finding the Fourth Proportional to 1,983.53, 2,975.27 and 684.97

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Solution

The fourth proportional to 1,983.53, 2,975.27 and 684.97 is: 1,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.53 : 2,975.27 = 684.97 : x
  2. Step 2: Convert to fraction form
    1,983.53/2,975.27 = 684.97/x
  3. Step 3: Cross multiply
    1,983.53x = 2,975.27 × 684.97
  4. Step 4: Simplify right side
    1,983.53x = 2,037,959.83
  5. Step 5: Solve for x
    x = 2,037,959.83/1,983.53
  6. Step 6: Final answer
    x = 1,027.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.