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Finding the Fourth Proportional to 2,297.61, 3,446.40 and 566.22

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Solution

The fourth proportional to 2,297.61, 3,446.40 and 566.22 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.61 : 3,446.40 = 566.22 : x
  2. Step 2: Convert to fraction form
    2,297.61/3,446.40 = 566.22/x
  3. Step 3: Cross multiply
    2,297.61x = 3,446.40 × 566.22
  4. Step 4: Simplify right side
    2,297.61x = 1,951,420.61
  5. Step 5: Solve for x
    x = 1,951,420.61/2,297.61
  6. Step 6: Final answer
    x = 849.33

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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.