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Finding the Fourth Proportional to 3,143.64, 4,716.30 and 952.44

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Solution

The fourth proportional to 3,143.64, 4,716.30 and 952.44 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.64 : 4,716.30 = 952.44 : x
  2. Step 2: Convert to fraction form
    3,143.64/4,716.30 = 952.44/x
  3. Step 3: Cross multiply
    3,143.64x = 4,716.30 × 952.44
  4. Step 4: Simplify right side
    3,143.64x = 4,491,992.77
  5. Step 5: Solve for x
    x = 4,491,992.77/3,143.64
  6. Step 6: Final answer
    x = 1,428.91

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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.