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Finding the Fourth Proportional to 3,141.28, 4,712.04 and 832.80

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Solution

The fourth proportional to 3,141.28, 4,712.04 and 832.80 is: 1,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.28 : 4,712.04 = 832.80 : x
  2. Step 2: Convert to fraction form
    3,141.28/4,712.04 = 832.80/x
  3. Step 3: Cross multiply
    3,141.28x = 4,712.04 × 832.80
  4. Step 4: Simplify right side
    3,141.28x = 3,924,186.91
  5. Step 5: Solve for x
    x = 3,924,186.91/3,141.28
  6. Step 6: Final answer
    x = 1,249.23

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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.