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Finding the Fourth Proportional to 2,023.56, 3,034.96 and 562.36

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Solution

The fourth proportional to 2,023.56, 3,034.96 and 562.36 is: 843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.56 : 3,034.96 = 562.36 : x
  2. Step 2: Convert to fraction form
    2,023.56/3,034.96 = 562.36/x
  3. Step 3: Cross multiply
    2,023.56x = 3,034.96 × 562.36
  4. Step 4: Simplify right side
    2,023.56x = 1,706,740.11
  5. Step 5: Solve for x
    x = 1,706,740.11/2,023.56
  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.