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Finding the Fourth Proportional to 2,382.21, 3,571.93 and 919.65

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Solution

The fourth proportional to 2,382.21, 3,571.93 and 919.65 is: 1,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.21 : 3,571.93 = 919.65 : x
  2. Step 2: Convert to fraction form
    2,382.21/3,571.93 = 919.65/x
  3. Step 3: Cross multiply
    2,382.21x = 3,571.93 × 919.65
  4. Step 4: Simplify right side
    2,382.21x = 3,284,939.97
  5. Step 5: Solve for x
    x = 3,284,939.97/2,382.21
  6. Step 6: Final answer
    x = 1,378.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.