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Finding the Fourth Proportional to 2,471.16, 3,706.76 and 827.84

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Solution

The fourth proportional to 2,471.16, 3,706.76 and 827.84 is: 1,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.16 : 3,706.76 = 827.84 : x
  2. Step 2: Convert to fraction form
    2,471.16/3,706.76 = 827.84/x
  3. Step 3: Cross multiply
    2,471.16x = 3,706.76 × 827.84
  4. Step 4: Simplify right side
    2,471.16x = 3,068,593.13
  5. Step 5: Solve for x
    x = 3,068,593.13/2,471.16
  6. Step 6: Final answer
    x = 1,241.76

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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.