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Finding the Fourth Proportional to 2,469.44, 3,406.92 and 1,584.92

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Solution

The fourth proportional to 2,469.44, 3,406.92 and 1,584.92 is: 2,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.44 : 3,406.92 = 1,584.92 : x
  2. Step 2: Convert to fraction form
    2,469.44/3,406.92 = 1,584.92/x
  3. Step 3: Cross multiply
    2,469.44x = 3,406.92 × 1,584.92
  4. Step 4: Simplify right side
    2,469.44x = 5,399,695.65
  5. Step 5: Solve for x
    x = 5,399,695.65/2,469.44
  6. Step 6: Final answer
    x = 2,186.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.