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Finding the Fourth Proportional to 2,297.77, 3,446.66 and 566.39

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Solution

The fourth proportional to 2,297.77, 3,446.66 and 566.39 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.77 : 3,446.66 = 566.39 : x
  2. Step 2: Convert to fraction form
    2,297.77/3,446.66 = 566.39/x
  3. Step 3: Cross multiply
    2,297.77x = 3,446.66 × 566.39
  4. Step 4: Simplify right side
    2,297.77x = 1,952,153.76
  5. Step 5: Solve for x
    x = 1,952,153.76/2,297.77
  6. Step 6: Final answer
    x = 849.59

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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.