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Finding the Fourth Proportional to 2,023.21, 3,034.43 and 562.37

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Solution

The fourth proportional to 2,023.21, 3,034.43 and 562.37 is: 843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.21 : 3,034.43 = 562.37 : x
  2. Step 2: Convert to fraction form
    2,023.21/3,034.43 = 562.37/x
  3. Step 3: Cross multiply
    2,023.21x = 3,034.43 × 562.37
  4. Step 4: Simplify right side
    2,023.21x = 1,706,481.39
  5. Step 5: Solve for x
    x = 1,706,481.39/2,023.21
  6. Step 6: Final answer
    x = 843.45

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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.