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Finding the Fourth Proportional to 3,161.84, 4,363.67 and 1,983.29

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Solution

The fourth proportional to 3,161.84, 4,363.67 and 1,983.29 is: 2,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.84 : 4,363.67 = 1,983.29 : x
  2. Step 2: Convert to fraction form
    3,161.84/4,363.67 = 1,983.29/x
  3. Step 3: Cross multiply
    3,161.84x = 4,363.67 × 1,983.29
  4. Step 4: Simplify right side
    3,161.84x = 8,654,406.21
  5. Step 5: Solve for x
    x = 8,654,406.21/3,161.84
  6. Step 6: Final answer
    x = 2,737.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.