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Finding the Fourth Proportional to 2,828.92, 4,224.33 and 2,309.94

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Solution

The fourth proportional to 2,828.92, 4,224.33 and 2,309.94 is: 3,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.92 : 4,224.33 = 2,309.94 : x
  2. Step 2: Convert to fraction form
    2,828.92/4,224.33 = 2,309.94/x
  3. Step 3: Cross multiply
    2,828.92x = 4,224.33 × 2,309.94
  4. Step 4: Simplify right side
    2,828.92x = 9,757,936.96
  5. Step 5: Solve for x
    x = 9,757,936.96/2,828.92
  6. Step 6: Final answer
    x = 3,449.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.