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Finding the Fourth Proportional to 2,297.80, 3,446.70 and 566.43

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Solution

The fourth proportional to 2,297.80, 3,446.70 and 566.43 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.80 : 3,446.70 = 566.43 : x
  2. Step 2: Convert to fraction form
    2,297.80/3,446.70 = 566.43/x
  3. Step 3: Cross multiply
    2,297.80x = 3,446.70 × 566.43
  4. Step 4: Simplify right side
    2,297.80x = 1,952,314.28
  5. Step 5: Solve for x
    x = 1,952,314.28/2,297.80
  6. Step 6: Final answer
    x = 849.65

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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.