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Finding the Fourth Proportional to 2,022.87, 3,034.34 and 562.04

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Solution

The fourth proportional to 2,022.87, 3,034.34 and 562.04 is: 843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.87 : 3,034.34 = 562.04 : x
  2. Step 2: Convert to fraction form
    2,022.87/3,034.34 = 562.04/x
  3. Step 3: Cross multiply
    2,022.87x = 3,034.34 × 562.04
  4. Step 4: Simplify right side
    2,022.87x = 1,705,402.47
  5. Step 5: Solve for x
    x = 1,705,402.47/2,022.87
  6. Step 6: Final answer
    x = 843.06

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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.