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Finding the Fourth Proportional to 3,224.70, 4,448.76 and 2,105.25

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Solution

The fourth proportional to 3,224.70, 4,448.76 and 2,105.25 is: 2,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.70 : 4,448.76 = 2,105.25 : x
  2. Step 2: Convert to fraction form
    3,224.70/4,448.76 = 2,105.25/x
  3. Step 3: Cross multiply
    3,224.70x = 4,448.76 × 2,105.25
  4. Step 4: Simplify right side
    3,224.70x = 9,365,751.99
  5. Step 5: Solve for x
    x = 9,365,751.99/3,224.70
  6. Step 6: Final answer
    x = 2,904.38

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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.