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Finding the Fourth Proportional to 2,686.17, 4,028.79 and 711.82

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Solution

The fourth proportional to 2,686.17, 4,028.79 and 711.82 is: 1,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.17 : 4,028.79 = 711.82 : x
  2. Step 2: Convert to fraction form
    2,686.17/4,028.79 = 711.82/x
  3. Step 3: Cross multiply
    2,686.17x = 4,028.79 × 711.82
  4. Step 4: Simplify right side
    2,686.17x = 2,867,773.30
  5. Step 5: Solve for x
    x = 2,867,773.30/2,686.17
  6. Step 6: Final answer
    x = 1,067.61

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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.