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Finding the Fourth Proportional to 3,100.68, 4,284.09 and 2,507.76

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Solution

The fourth proportional to 3,100.68, 4,284.09 and 2,507.76 is: 3,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.68 : 4,284.09 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    3,100.68/4,284.09 = 2,507.76/x
  3. Step 3: Cross multiply
    3,100.68x = 4,284.09 × 2,507.76
  4. Step 4: Simplify right side
    3,100.68x = 10,743,469.54
  5. Step 5: Solve for x
    x = 10,743,469.54/3,100.68
  6. Step 6: Final answer
    x = 3,464.88

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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.