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Finding the Fourth Proportional to 3,278.86, 4,524.82 and 1,786.78

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Solution

The fourth proportional to 3,278.86, 4,524.82 and 1,786.78 is: 2,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.86 : 4,524.82 = 1,786.78 : x
  2. Step 2: Convert to fraction form
    3,278.86/4,524.82 = 1,786.78/x
  3. Step 3: Cross multiply
    3,278.86x = 4,524.82 × 1,786.78
  4. Step 4: Simplify right side
    3,278.86x = 8,084,846.18
  5. Step 5: Solve for x
    x = 8,084,846.18/3,278.86
  6. Step 6: Final answer
    x = 2,465.75

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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.