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Finding the Fourth Proportional to 3,223.94, 4,828.17 and 1,759.46

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Solution

The fourth proportional to 3,223.94, 4,828.17 and 1,759.46 is: 2,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.94 : 4,828.17 = 1,759.46 : x
  2. Step 2: Convert to fraction form
    3,223.94/4,828.17 = 1,759.46/x
  3. Step 3: Cross multiply
    3,223.94x = 4,828.17 × 1,759.46
  4. Step 4: Simplify right side
    3,223.94x = 8,494,971.99
  5. Step 5: Solve for x
    x = 8,494,971.99/3,223.94
  6. Step 6: Final answer
    x = 2,634.97

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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.