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Finding the Fourth Proportional to 3,228.26, 4,843.13 and 919.76

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Solution

The fourth proportional to 3,228.26, 4,843.13 and 919.76 is: 1,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.26 : 4,843.13 = 919.76 : x
  2. Step 2: Convert to fraction form
    3,228.26/4,843.13 = 919.76/x
  3. Step 3: Cross multiply
    3,228.26x = 4,843.13 × 919.76
  4. Step 4: Simplify right side
    3,228.26x = 4,454,488.43
  5. Step 5: Solve for x
    x = 4,454,488.43/3,228.26
  6. Step 6: Final answer
    x = 1,379.84

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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.