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Finding the Fourth Proportional to 4,660.80, 6,991.20 and 1,738.95

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Solution

The fourth proportional to 4,660.80, 6,991.20 and 1,738.95 is: 2,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.80 : 6,991.20 = 1,738.95 : x
  2. Step 2: Convert to fraction form
    4,660.80/6,991.20 = 1,738.95/x
  3. Step 3: Cross multiply
    4,660.80x = 6,991.20 × 1,738.95
  4. Step 4: Simplify right side
    4,660.80x = 12,157,347.24
  5. Step 5: Solve for x
    x = 12,157,347.24/4,660.80
  6. Step 6: Final answer
    x = 2,608.43

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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.