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Finding the Fourth Proportional to 2,023.46, 3,034.81 and 562.62

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Solution

The fourth proportional to 2,023.46, 3,034.81 and 562.62 is: 843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.46 : 3,034.81 = 562.62 : x
  2. Step 2: Convert to fraction form
    2,023.46/3,034.81 = 562.62/x
  3. Step 3: Cross multiply
    2,023.46x = 3,034.81 × 562.62
  4. Step 4: Simplify right side
    2,023.46x = 1,707,444.80
  5. Step 5: Solve for x
    x = 1,707,444.80/2,023.46
  6. Step 6: Final answer
    x = 843.82

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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.