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Finding the Fourth Proportional to 2,138.75, 3,208.09 and 1,772.77

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Solution

The fourth proportional to 2,138.75, 3,208.09 and 1,772.77 is: 2,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.75 : 3,208.09 = 1,772.77 : x
  2. Step 2: Convert to fraction form
    2,138.75/3,208.09 = 1,772.77/x
  3. Step 3: Cross multiply
    2,138.75x = 3,208.09 × 1,772.77
  4. Step 4: Simplify right side
    2,138.75x = 5,687,189.67
  5. Step 5: Solve for x
    x = 5,687,189.67/2,138.75
  6. Step 6: Final answer
    x = 2,659.12

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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.