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Finding the Fourth Proportional to 3,108.54, 4,662.81 and 2,131.68

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Solution

The fourth proportional to 3,108.54, 4,662.81 and 2,131.68 is: 3,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.54 : 4,662.81 = 2,131.68 : x
  2. Step 2: Convert to fraction form
    3,108.54/4,662.81 = 2,131.68/x
  3. Step 3: Cross multiply
    3,108.54x = 4,662.81 × 2,131.68
  4. Step 4: Simplify right side
    3,108.54x = 9,939,618.82
  5. Step 5: Solve for x
    x = 9,939,618.82/3,108.54
  6. Step 6: Final answer
    x = 3,197.52

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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.