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Finding the Fourth Proportional to 1,983.54, 2,975.51 and 684.70

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Solution

The fourth proportional to 1,983.54, 2,975.51 and 684.70 is: 1,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.54 : 2,975.51 = 684.70 : x
  2. Step 2: Convert to fraction form
    1,983.54/2,975.51 = 684.70/x
  3. Step 3: Cross multiply
    1,983.54x = 2,975.51 × 684.70
  4. Step 4: Simplify right side
    1,983.54x = 2,037,331.70
  5. Step 5: Solve for x
    x = 2,037,331.70/1,983.54
  6. Step 6: Final answer
    x = 1,027.12

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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.