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Finding the Fourth Proportional to 3,138.68, 4,705.49 and 2,149.07

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Solution

The fourth proportional to 3,138.68, 4,705.49 and 2,149.07 is: 3,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.68 : 4,705.49 = 2,149.07 : x
  2. Step 2: Convert to fraction form
    3,138.68/4,705.49 = 2,149.07/x
  3. Step 3: Cross multiply
    3,138.68x = 4,705.49 × 2,149.07
  4. Step 4: Simplify right side
    3,138.68x = 10,112,409.24
  5. Step 5: Solve for x
    x = 10,112,409.24/3,138.68
  6. Step 6: Final answer
    x = 3,221.86

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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.