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Finding the Fourth Proportional to 2,604.03, 3,906.45 and 872.25

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Solution

The fourth proportional to 2,604.03, 3,906.45 and 872.25 is: 1,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.03 : 3,906.45 = 872.25 : x
  2. Step 2: Convert to fraction form
    2,604.03/3,906.45 = 872.25/x
  3. Step 3: Cross multiply
    2,604.03x = 3,906.45 × 872.25
  4. Step 4: Simplify right side
    2,604.03x = 3,407,401.01
  5. Step 5: Solve for x
    x = 3,407,401.01/2,604.03
  6. Step 6: Final answer
    x = 1,308.51

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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.