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Finding the Fourth Proportional to 2,023.20, 3,034.17 and 562.41

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Solution

The fourth proportional to 2,023.20, 3,034.17 and 562.41 is: 843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.20 : 3,034.17 = 562.41 : x
  2. Step 2: Convert to fraction form
    2,023.20/3,034.17 = 562.41/x
  3. Step 3: Cross multiply
    2,023.20x = 3,034.17 × 562.41
  4. Step 4: Simplify right side
    2,023.20x = 1,706,447.55
  5. Step 5: Solve for x
    x = 1,706,447.55/2,023.20
  6. Step 6: Final answer
    x = 843.44

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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.