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Finding the Fourth Proportional to 2,023.16, 3,034.19 and 562.39

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Solution

The fourth proportional to 2,023.16, 3,034.19 and 562.39 is: 843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.16 : 3,034.19 = 562.39 : x
  2. Step 2: Convert to fraction form
    2,023.16/3,034.19 = 562.39/x
  3. Step 3: Cross multiply
    2,023.16x = 3,034.19 × 562.39
  4. Step 4: Simplify right side
    2,023.16x = 1,706,391.93
  5. Step 5: Solve for x
    x = 1,706,391.93/2,023.16
  6. Step 6: Final answer
    x = 843.43

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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.