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Finding the Fourth Proportional to 2,297.25, 3,170.93 and 1,469.25

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Solution

The fourth proportional to 2,297.25, 3,170.93 and 1,469.25 is: 2,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.25 : 3,170.93 = 1,469.25 : x
  2. Step 2: Convert to fraction form
    2,297.25/3,170.93 = 1,469.25/x
  3. Step 3: Cross multiply
    2,297.25x = 3,170.93 × 1,469.25
  4. Step 4: Simplify right side
    2,297.25x = 4,658,881.56
  5. Step 5: Solve for x
    x = 4,658,881.56/2,297.25
  6. Step 6: Final answer
    x = 2,028.03

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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.