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Finding the Fourth Proportional to 2,007.92, 3,012 and 547.22

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Solution

The fourth proportional to 2,007.92, 3,012 and 547.22 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.92 : 3,012 = 547.22 : x
  2. Step 2: Convert to fraction form
    2,007.92/3,012 = 547.22/x
  3. Step 3: Cross multiply
    2,007.92x = 3,012 × 547.22
  4. Step 4: Simplify right side
    2,007.92x = 1,648,226.64
  5. Step 5: Solve for x
    x = 1,648,226.64/2,007.92
  6. Step 6: Final answer
    x = 820.86

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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.