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Finding the Fourth Proportional to 2,843.94, 4,260.24 and 1,378.65

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Solution

The fourth proportional to 2,843.94, 4,260.24 and 1,378.65 is: 2,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.94 : 4,260.24 = 1,378.65 : x
  2. Step 2: Convert to fraction form
    2,843.94/4,260.24 = 1,378.65/x
  3. Step 3: Cross multiply
    2,843.94x = 4,260.24 × 1,378.65
  4. Step 4: Simplify right side
    2,843.94x = 5,873,379.88
  5. Step 5: Solve for x
    x = 5,873,379.88/2,843.94
  6. Step 6: Final answer
    x = 2,065.23

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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.