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Finding the Fourth Proportional to 2,786.19, 4,179.35 and 811.74

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Solution

The fourth proportional to 2,786.19, 4,179.35 and 811.74 is: 1,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.19 : 4,179.35 = 811.74 : x
  2. Step 2: Convert to fraction form
    2,786.19/4,179.35 = 811.74/x
  3. Step 3: Cross multiply
    2,786.19x = 4,179.35 × 811.74
  4. Step 4: Simplify right side
    2,786.19x = 3,392,524.67
  5. Step 5: Solve for x
    x = 3,392,524.67/2,786.19
  6. Step 6: Final answer
    x = 1,217.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.