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Finding the Fourth Proportional to 2,297.20, 3,447 and 2,173.28

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Solution

The fourth proportional to 2,297.20, 3,447 and 2,173.28 is: 3,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.20 : 3,447 = 2,173.28 : x
  2. Step 2: Convert to fraction form
    2,297.20/3,447 = 2,173.28/x
  3. Step 3: Cross multiply
    2,297.20x = 3,447 × 2,173.28
  4. Step 4: Simplify right side
    2,297.20x = 7,491,296.16
  5. Step 5: Solve for x
    x = 7,491,296.16/2,297.20
  6. Step 6: Final answer
    x = 3,261.06

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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.