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Finding the Fourth Proportional to 3,074.65, 4,611.97 and 2,767.78

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Solution

The fourth proportional to 3,074.65, 4,611.97 and 2,767.78 is: 4,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.65 : 4,611.97 = 2,767.78 : x
  2. Step 2: Convert to fraction form
    3,074.65/4,611.97 = 2,767.78/x
  3. Step 3: Cross multiply
    3,074.65x = 4,611.97 × 2,767.78
  4. Step 4: Simplify right side
    3,074.65x = 12,764,911.41
  5. Step 5: Solve for x
    x = 12,764,911.41/3,074.65
  6. Step 6: Final answer
    x = 4,151.66

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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.