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Finding the Fourth Proportional to 2,022.92, 3,031.86 and 867.32

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Solution

The fourth proportional to 2,022.92, 3,031.86 and 867.32 is: 1,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.92 : 3,031.86 = 867.32 : x
  2. Step 2: Convert to fraction form
    2,022.92/3,031.86 = 867.32/x
  3. Step 3: Cross multiply
    2,022.92x = 3,031.86 × 867.32
  4. Step 4: Simplify right side
    2,022.92x = 2,629,592.82
  5. Step 5: Solve for x
    x = 2,629,592.82/2,022.92
  6. Step 6: Final answer
    x = 1,299.90

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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.