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Finding the Fourth Proportional to 2,716.77, 3,747.09 and 1,878.87

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Solution

The fourth proportional to 2,716.77, 3,747.09 and 1,878.87 is: 2,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.77 : 3,747.09 = 1,878.87 : x
  2. Step 2: Convert to fraction form
    2,716.77/3,747.09 = 1,878.87/x
  3. Step 3: Cross multiply
    2,716.77x = 3,747.09 × 1,878.87
  4. Step 4: Simplify right side
    2,716.77x = 7,040,294.99
  5. Step 5: Solve for x
    x = 7,040,294.99/2,716.77
  6. Step 6: Final answer
    x = 2,591.42

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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.