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Finding the Fourth Proportional to 3,011.91, 4,518.21 and 820.82

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Solution

The fourth proportional to 3,011.91, 4,518.21 and 820.82 is: 1,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.91 : 4,518.21 = 820.82 : x
  2. Step 2: Convert to fraction form
    3,011.91/4,518.21 = 820.82/x
  3. Step 3: Cross multiply
    3,011.91x = 4,518.21 × 820.82
  4. Step 4: Simplify right side
    3,011.91x = 3,708,614.54
  5. Step 5: Solve for x
    x = 3,708,614.54/3,011.91
  6. Step 6: Final answer
    x = 1,231.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.