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Finding the Fourth Proportional to 2,022.92, 3,034.04 and 562.22

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Solution

The fourth proportional to 2,022.92, 3,034.04 and 562.22 is: 843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.92 : 3,034.04 = 562.22 : x
  2. Step 2: Convert to fraction form
    2,022.92/3,034.04 = 562.22/x
  3. Step 3: Cross multiply
    2,022.92x = 3,034.04 × 562.22
  4. Step 4: Simplify right side
    2,022.92x = 1,705,779.99
  5. Step 5: Solve for x
    x = 1,705,779.99/2,022.92
  6. Step 6: Final answer
    x = 843.23

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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.