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Finding the Fourth Proportional to 3,217.77, 4,832.10 and 1,759.77

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Solution

The fourth proportional to 3,217.77, 4,832.10 and 1,759.77 is: 2,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.77 : 4,832.10 = 1,759.77 : x
  2. Step 2: Convert to fraction form
    3,217.77/4,832.10 = 1,759.77/x
  3. Step 3: Cross multiply
    3,217.77x = 4,832.10 × 1,759.77
  4. Step 4: Simplify right side
    3,217.77x = 8,503,384.62
  5. Step 5: Solve for x
    x = 8,503,384.62/3,217.77
  6. Step 6: Final answer
    x = 2,642.63

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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.