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Finding the Fourth Proportional to 1,983.23, 2,975.29 and 684.69

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Solution

The fourth proportional to 1,983.23, 2,975.29 and 684.69 is: 1,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.23 : 2,975.29 = 684.69 : x
  2. Step 2: Convert to fraction form
    1,983.23/2,975.29 = 684.69/x
  3. Step 3: Cross multiply
    1,983.23x = 2,975.29 × 684.69
  4. Step 4: Simplify right side
    1,983.23x = 2,037,151.31
  5. Step 5: Solve for x
    x = 2,037,151.31/1,983.23
  6. Step 6: Final answer
    x = 1,027.19

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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.