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Finding the Fourth Proportional to 2,297.58, 3,446.37 and 566.21

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Solution

The fourth proportional to 2,297.58, 3,446.37 and 566.21 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,446.37 = 566.21 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,446.37 = 566.21/x
  3. Step 3: Cross multiply
    2,297.58x = 3,446.37 × 566.21
  4. Step 4: Simplify right side
    2,297.58x = 1,951,351.93
  5. Step 5: Solve for x
    x = 1,951,351.93/2,297.58
  6. Step 6: Final answer
    x = 849.31

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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.