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Finding the Fourth Proportional to 2,208.62, 3,297.12 and 2,131.68

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Solution

The fourth proportional to 2,208.62, 3,297.12 and 2,131.68 is: 3,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.62 : 3,297.12 = 2,131.68 : x
  2. Step 2: Convert to fraction form
    2,208.62/3,297.12 = 2,131.68/x
  3. Step 3: Cross multiply
    2,208.62x = 3,297.12 × 2,131.68
  4. Step 4: Simplify right side
    2,208.62x = 7,028,404.76
  5. Step 5: Solve for x
    x = 7,028,404.76/2,208.62
  6. Step 6: Final answer
    x = 3,182.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.