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Finding the Fourth Proportional to 3,129.82, 4,694.43 and 821.32

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Solution

The fourth proportional to 3,129.82, 4,694.43 and 821.32 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.82 : 4,694.43 = 821.32 : x
  2. Step 2: Convert to fraction form
    3,129.82/4,694.43 = 821.32/x
  3. Step 3: Cross multiply
    3,129.82x = 4,694.43 × 821.32
  4. Step 4: Simplify right side
    3,129.82x = 3,855,646.85
  5. Step 5: Solve for x
    x = 3,855,646.85/3,129.82
  6. Step 6: Final answer
    x = 1,231.91

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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.