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Finding the Fourth Proportional to 2,023.20, 3,034.80 and 562.46

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Solution

The fourth proportional to 2,023.20, 3,034.80 and 562.46 is: 843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.20 : 3,034.80 = 562.46 : x
  2. Step 2: Convert to fraction form
    2,023.20/3,034.80 = 562.46/x
  3. Step 3: Cross multiply
    2,023.20x = 3,034.80 × 562.46
  4. Step 4: Simplify right side
    2,023.20x = 1,706,938.43
  5. Step 5: Solve for x
    x = 1,706,938.43/2,023.20
  6. Step 6: Final answer
    x = 843.68

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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.