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Finding the Fourth Proportional to 3,144.23, 4,716.85 and 952.78

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Solution

The fourth proportional to 3,144.23, 4,716.85 and 952.78 is: 1,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.23 : 4,716.85 = 952.78 : x
  2. Step 2: Convert to fraction form
    3,144.23/4,716.85 = 952.78/x
  3. Step 3: Cross multiply
    3,144.23x = 4,716.85 × 952.78
  4. Step 4: Simplify right side
    3,144.23x = 4,494,120.34
  5. Step 5: Solve for x
    x = 4,494,120.34/3,144.23
  6. Step 6: Final answer
    x = 1,429.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.