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Finding the Fourth Proportional to 3,144.67, 4,716.49 and 1,064.64

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Solution

The fourth proportional to 3,144.67, 4,716.49 and 1,064.64 is: 1,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.67 : 4,716.49 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    3,144.67/4,716.49 = 1,064.64/x
  3. Step 3: Cross multiply
    3,144.67x = 4,716.49 × 1,064.64
  4. Step 4: Simplify right side
    3,144.67x = 5,021,363.91
  5. Step 5: Solve for x
    x = 5,021,363.91/3,144.67
  6. Step 6: Final answer
    x = 1,596.79

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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.