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Finding the Fourth Proportional to 2,604.07, 3,906.18 and 656.27

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Solution

The fourth proportional to 2,604.07, 3,906.18 and 656.27 is: 984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.07 : 3,906.18 = 656.27 : x
  2. Step 2: Convert to fraction form
    2,604.07/3,906.18 = 656.27/x
  3. Step 3: Cross multiply
    2,604.07x = 3,906.18 × 656.27
  4. Step 4: Simplify right side
    2,604.07x = 2,563,508.75
  5. Step 5: Solve for x
    x = 2,563,508.75/2,604.07
  6. Step 6: Final answer
    x = 984.43

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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.