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Finding the Fourth Proportional to 3,453.91, 4,766.23 and 1,961.62

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Solution

The fourth proportional to 3,453.91, 4,766.23 and 1,961.62 is: 2,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.91 : 4,766.23 = 1,961.62 : x
  2. Step 2: Convert to fraction form
    3,453.91/4,766.23 = 1,961.62/x
  3. Step 3: Cross multiply
    3,453.91x = 4,766.23 × 1,961.62
  4. Step 4: Simplify right side
    3,453.91x = 9,349,515.27
  5. Step 5: Solve for x
    x = 9,349,515.27/3,453.91
  6. Step 6: Final answer
    x = 2,706.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.