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Finding the Fourth Proportional to 2,297.76, 3,446.66 and 566.39

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Solution

The fourth proportional to 2,297.76, 3,446.66 and 566.39 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,446.66 = 566.39 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,446.66 = 566.39/x
  3. Step 3: Cross multiply
    2,297.76x = 3,446.66 × 566.39
  4. Step 4: Simplify right side
    2,297.76x = 1,952,133.69
  5. Step 5: Solve for x
    x = 1,952,133.69/2,297.76
  6. Step 6: Final answer
    x = 849.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.