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Finding the Fourth Proportional to 3,077.94, 4,616.93 and 1,229.21

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Solution

The fourth proportional to 3,077.94, 4,616.93 and 1,229.21 is: 1,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.94 : 4,616.93 = 1,229.21 : x
  2. Step 2: Convert to fraction form
    3,077.94/4,616.93 = 1,229.21/x
  3. Step 3: Cross multiply
    3,077.94x = 4,616.93 × 1,229.21
  4. Step 4: Simplify right side
    3,077.94x = 5,675,176.53
  5. Step 5: Solve for x
    x = 5,675,176.53/3,077.94
  6. Step 6: Final answer
    x = 1,843.82

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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.