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Finding the Fourth Proportional to 2,297.97, 3,446.96 and 566.60

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Solution

The fourth proportional to 2,297.97, 3,446.96 and 566.60 is: 849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.97 : 3,446.96 = 566.60 : x
  2. Step 2: Convert to fraction form
    2,297.97/3,446.96 = 566.60/x
  3. Step 3: Cross multiply
    2,297.97x = 3,446.96 × 566.60
  4. Step 4: Simplify right side
    2,297.97x = 1,953,027.47
  5. Step 5: Solve for x
    x = 1,953,027.47/2,297.97
  6. Step 6: Final answer
    x = 849.89

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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.