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Finding the Fourth Proportional to 3,278.97, 4,524.95 and 1,786.89

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Solution

The fourth proportional to 3,278.97, 4,524.95 and 1,786.89 is: 2,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.97 : 4,524.95 = 1,786.89 : x
  2. Step 2: Convert to fraction form
    3,278.97/4,524.95 = 1,786.89/x
  3. Step 3: Cross multiply
    3,278.97x = 4,524.95 × 1,786.89
  4. Step 4: Simplify right side
    3,278.97x = 8,085,578.97
  5. Step 5: Solve for x
    x = 8,085,578.97/3,278.97
  6. Step 6: Final answer
    x = 2,465.89

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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.