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Finding the Fourth Proportional to 2,023.31, 3,034.86 and 562.43

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Solution

The fourth proportional to 2,023.31, 3,034.86 and 562.43 is: 843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.31 : 3,034.86 = 562.43 : x
  2. Step 2: Convert to fraction form
    2,023.31/3,034.86 = 562.43/x
  3. Step 3: Cross multiply
    2,023.31x = 3,034.86 × 562.43
  4. Step 4: Simplify right side
    2,023.31x = 1,706,881.14
  5. Step 5: Solve for x
    x = 1,706,881.14/2,023.31
  6. Step 6: Final answer
    x = 843.61

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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.