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Finding the Fourth Proportional to 3,382.58, 4,667.78 and 1,890.20

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Solution

The fourth proportional to 3,382.58, 4,667.78 and 1,890.20 is: 2,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.58 : 4,667.78 = 1,890.20 : x
  2. Step 2: Convert to fraction form
    3,382.58/4,667.78 = 1,890.20/x
  3. Step 3: Cross multiply
    3,382.58x = 4,667.78 × 1,890.20
  4. Step 4: Simplify right side
    3,382.58x = 8,823,004.97
  5. Step 5: Solve for x
    x = 8,823,004.97/3,382.58
  6. Step 6: Final answer
    x = 2,608.37

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Why These Related Problems?

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