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Finding the Fourth Proportional to 2,647.86, 3,969.96 and 1,260.14

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Solution

The fourth proportional to 2,647.86, 3,969.96 and 1,260.14 is: 1,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.86 : 3,969.96 = 1,260.14 : x
  2. Step 2: Convert to fraction form
    2,647.86/3,969.96 = 1,260.14/x
  3. Step 3: Cross multiply
    2,647.86x = 3,969.96 × 1,260.14
  4. Step 4: Simplify right side
    2,647.86x = 5,002,685.54
  5. Step 5: Solve for x
    x = 5,002,685.54/2,647.86
  6. Step 6: Final answer
    x = 1,889.33

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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.