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Finding the Fourth Proportional to 2,297.25, 3,169.22 and 1,797.89

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Solution

The fourth proportional to 2,297.25, 3,169.22 and 1,797.89 is: 2,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.25 : 3,169.22 = 1,797.89 : x
  2. Step 2: Convert to fraction form
    2,297.25/3,169.22 = 1,797.89/x
  3. Step 3: Cross multiply
    2,297.25x = 3,169.22 × 1,797.89
  4. Step 4: Simplify right side
    2,297.25x = 5,697,897.59
  5. Step 5: Solve for x
    x = 5,697,897.59/2,297.25
  6. Step 6: Final answer
    x = 2,480.31

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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.