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Finding the Fourth Proportional to 2,297.10, 3,446.73 and 2,258.22

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Solution

The fourth proportional to 2,297.10, 3,446.73 and 2,258.22 is: 3,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.10 : 3,446.73 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    2,297.10/3,446.73 = 2,258.22/x
  3. Step 3: Cross multiply
    2,297.10x = 3,446.73 × 2,258.22
  4. Step 4: Simplify right side
    2,297.10x = 7,783,474.62
  5. Step 5: Solve for x
    x = 7,783,474.62/2,297.10
  6. Step 6: Final answer
    x = 3,388.39

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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.