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Finding the Fourth Proportional to 2,697.12, 3,716.55 and 2,067.66

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Solution

The fourth proportional to 2,697.12, 3,716.55 and 2,067.66 is: 2,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.12 : 3,716.55 = 2,067.66 : x
  2. Step 2: Convert to fraction form
    2,697.12/3,716.55 = 2,067.66/x
  3. Step 3: Cross multiply
    2,697.12x = 3,716.55 × 2,067.66
  4. Step 4: Simplify right side
    2,697.12x = 7,684,561.77
  5. Step 5: Solve for x
    x = 7,684,561.77/2,697.12
  6. Step 6: Final answer
    x = 2,849.17

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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.