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Finding the Fourth Proportional to 2,023.22, 3,034.88 and 562.38

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Solution

The fourth proportional to 2,023.22, 3,034.88 and 562.38 is: 843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.22 : 3,034.88 = 562.38 : x
  2. Step 2: Convert to fraction form
    2,023.22/3,034.88 = 562.38/x
  3. Step 3: Cross multiply
    2,023.22x = 3,034.88 × 562.38
  4. Step 4: Simplify right side
    2,023.22x = 1,706,753.00
  5. Step 5: Solve for x
    x = 1,706,753.00/2,023.22
  6. Step 6: Final answer
    x = 843.58

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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.