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Finding the Fourth Proportional to 2,790.96, 4,183 and 2,443.48

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Solution

The fourth proportional to 2,790.96, 4,183 and 2,443.48 is: 3,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.96 : 4,183 = 2,443.48 : x
  2. Step 2: Convert to fraction form
    2,790.96/4,183 = 2,443.48/x
  3. Step 3: Cross multiply
    2,790.96x = 4,183 × 2,443.48
  4. Step 4: Simplify right side
    2,790.96x = 10,221,076.84
  5. Step 5: Solve for x
    x = 10,221,076.84/2,790.96
  6. Step 6: Final answer
    x = 3,662.21

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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.