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Finding the Fourth Proportional to 2,906.62, 4,361.85 and 1,735.76

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Solution

The fourth proportional to 2,906.62, 4,361.85 and 1,735.76 is: 2,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.62 : 4,361.85 = 1,735.76 : x
  2. Step 2: Convert to fraction form
    2,906.62/4,361.85 = 1,735.76/x
  3. Step 3: Cross multiply
    2,906.62x = 4,361.85 × 1,735.76
  4. Step 4: Simplify right side
    2,906.62x = 7,571,124.76
  5. Step 5: Solve for x
    x = 7,571,124.76/2,906.62
  6. Step 6: Final answer
    x = 2,604.79

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1.5x scale

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.