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Finding the Fourth Proportional to 2,891.34, 3,989.15 and 1,771.73

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Solution

The fourth proportional to 2,891.34, 3,989.15 and 1,771.73 is: 2,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.34 : 3,989.15 = 1,771.73 : x
  2. Step 2: Convert to fraction form
    2,891.34/3,989.15 = 1,771.73/x
  3. Step 3: Cross multiply
    2,891.34x = 3,989.15 × 1,771.73
  4. Step 4: Simplify right side
    2,891.34x = 7,067,667.93
  5. Step 5: Solve for x
    x = 7,067,667.93/2,891.34
  6. Step 6: Final answer
    x = 2,444.43

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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.