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Finding the Fourth Proportional to 3,278.74, 4,524.77 and 1,786.70

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Solution

The fourth proportional to 3,278.74, 4,524.77 and 1,786.70 is: 2,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.74 : 4,524.77 = 1,786.70 : x
  2. Step 2: Convert to fraction form
    3,278.74/4,524.77 = 1,786.70/x
  3. Step 3: Cross multiply
    3,278.74x = 4,524.77 × 1,786.70
  4. Step 4: Simplify right side
    3,278.74x = 8,084,375.00
  5. Step 5: Solve for x
    x = 8,084,375.00/3,278.74
  6. Step 6: Final answer
    x = 2,465.70

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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.