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Finding the Fourth Proportional to 2,661.05, 3,991.32 and 1,255.14

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Solution

The fourth proportional to 2,661.05, 3,991.32 and 1,255.14 is: 1,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.05 : 3,991.32 = 1,255.14 : x
  2. Step 2: Convert to fraction form
    2,661.05/3,991.32 = 1,255.14/x
  3. Step 3: Cross multiply
    2,661.05x = 3,991.32 × 1,255.14
  4. Step 4: Simplify right side
    2,661.05x = 5,009,659.11
  5. Step 5: Solve for x
    x = 5,009,659.11/2,661.05
  6. Step 6: Final answer
    x = 1,882.59

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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.