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Finding the Fourth Proportional to 2,877.78, 4,297.16 and 2,286.14

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Solution

The fourth proportional to 2,877.78, 4,297.16 and 2,286.14 is: 3,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.78 : 4,297.16 = 2,286.14 : x
  2. Step 2: Convert to fraction form
    2,877.78/4,297.16 = 2,286.14/x
  3. Step 3: Cross multiply
    2,877.78x = 4,297.16 × 2,286.14
  4. Step 4: Simplify right side
    2,877.78x = 9,823,909.36
  5. Step 5: Solve for x
    x = 9,823,909.36/2,877.78
  6. Step 6: Final answer
    x = 3,413.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.