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Finding the Fourth Proportional to 2,297.25, 3,170.96 and 1,353.03

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Solution

The fourth proportional to 2,297.25, 3,170.96 and 1,353.03 is: 1,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.25 : 3,170.96 = 1,353.03 : x
  2. Step 2: Convert to fraction form
    2,297.25/3,170.96 = 1,353.03/x
  3. Step 3: Cross multiply
    2,297.25x = 3,170.96 × 1,353.03
  4. Step 4: Simplify right side
    2,297.25x = 4,290,404.01
  5. Step 5: Solve for x
    x = 4,290,404.01/2,297.25
  6. Step 6: Final answer
    x = 1,867.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.