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Finding the Fourth Proportional to 3,144.53, 4,716.80 and 1,064.55

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Solution

The fourth proportional to 3,144.53, 4,716.80 and 1,064.55 is: 1,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.53 : 4,716.80 = 1,064.55 : x
  2. Step 2: Convert to fraction form
    3,144.53/4,716.80 = 1,064.55/x
  3. Step 3: Cross multiply
    3,144.53x = 4,716.80 × 1,064.55
  4. Step 4: Simplify right side
    3,144.53x = 5,021,264.12
  5. Step 5: Solve for x
    x = 5,021,264.12/3,144.53
  6. Step 6: Final answer
    x = 1,596.83

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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.