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Finding the Fourth Proportional to 3,076.38, 4,611.84 and 1,226.44

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Solution

The fourth proportional to 3,076.38, 4,611.84 and 1,226.44 is: 1,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.38 : 4,611.84 = 1,226.44 : x
  2. Step 2: Convert to fraction form
    3,076.38/4,611.84 = 1,226.44/x
  3. Step 3: Cross multiply
    3,076.38x = 4,611.84 × 1,226.44
  4. Step 4: Simplify right side
    3,076.38x = 5,656,146.22
  5. Step 5: Solve for x
    x = 5,656,146.22/3,076.38
  6. Step 6: Final answer
    x = 1,838.57

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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.