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Finding the Fourth Proportional to 2,828.89, 4,224.28 and 2,309.91

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Solution

The fourth proportional to 2,828.89, 4,224.28 and 2,309.91 is: 3,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.89 : 4,224.28 = 2,309.91 : x
  2. Step 2: Convert to fraction form
    2,828.89/4,224.28 = 2,309.91/x
  3. Step 3: Cross multiply
    2,828.89x = 4,224.28 × 2,309.91
  4. Step 4: Simplify right side
    2,828.89x = 9,757,685.49
  5. Step 5: Solve for x
    x = 9,757,685.49/2,828.89
  6. Step 6: Final answer
    x = 3,449.30

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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.