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Finding the Fourth Proportional to 2,023.44, 3,035.20 and 562.59

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Solution

The fourth proportional to 2,023.44, 3,035.20 and 562.59 is: 843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.44 : 3,035.20 = 562.59 : x
  2. Step 2: Convert to fraction form
    2,023.44/3,035.20 = 562.59/x
  3. Step 3: Cross multiply
    2,023.44x = 3,035.20 × 562.59
  4. Step 4: Simplify right side
    2,023.44x = 1,707,571.76
  5. Step 5: Solve for x
    x = 1,707,571.76/2,023.44
  6. Step 6: Final answer
    x = 843.90

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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.