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Finding the Fourth Proportional to 3,191.43, 4,785.89 and 969.57

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Solution

The fourth proportional to 3,191.43, 4,785.89 and 969.57 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.43 : 4,785.89 = 969.57 : x
  2. Step 2: Convert to fraction form
    3,191.43/4,785.89 = 969.57/x
  3. Step 3: Cross multiply
    3,191.43x = 4,785.89 × 969.57
  4. Step 4: Simplify right side
    3,191.43x = 4,640,250.52
  5. Step 5: Solve for x
    x = 4,640,250.52/3,191.43
  6. Step 6: Final answer
    x = 1,453.97

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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.