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Finding the Fourth Proportional to 2,023.26, 3,034.89 and 562.41

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Solution

The fourth proportional to 2,023.26, 3,034.89 and 562.41 is: 843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.26 : 3,034.89 = 562.41 : x
  2. Step 2: Convert to fraction form
    2,023.26/3,034.89 = 562.41/x
  3. Step 3: Cross multiply
    2,023.26x = 3,034.89 × 562.41
  4. Step 4: Simplify right side
    2,023.26x = 1,706,852.48
  5. Step 5: Solve for x
    x = 1,706,852.48/2,023.26
  6. Step 6: Final answer
    x = 843.62

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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.