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Finding the Fourth Proportional to 3,228.24, 4,843.16 and 919.74

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Solution

The fourth proportional to 3,228.24, 4,843.16 and 919.74 is: 1,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.24 : 4,843.16 = 919.74 : x
  2. Step 2: Convert to fraction form
    3,228.24/4,843.16 = 919.74/x
  3. Step 3: Cross multiply
    3,228.24x = 4,843.16 × 919.74
  4. Step 4: Simplify right side
    3,228.24x = 4,454,443.38
  5. Step 5: Solve for x
    x = 4,454,443.38/3,228.24
  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.