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Finding the Fourth Proportional to 2,761.14, 3,812.81 and 1,879.05

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Solution

The fourth proportional to 2,761.14, 3,812.81 and 1,879.05 is: 2,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.14 : 3,812.81 = 1,879.05 : x
  2. Step 2: Convert to fraction form
    2,761.14/3,812.81 = 1,879.05/x
  3. Step 3: Cross multiply
    2,761.14x = 3,812.81 × 1,879.05
  4. Step 4: Simplify right side
    2,761.14x = 7,164,451.24
  5. Step 5: Solve for x
    x = 7,164,451.24/2,761.14
  6. Step 6: Final answer
    x = 2,594.74

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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.