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Finding the Fourth Proportional to 3,194.12, 4,792 and 1,346.24

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Solution

The fourth proportional to 3,194.12, 4,792 and 1,346.24 is: 2,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.12 : 4,792 = 1,346.24 : x
  2. Step 2: Convert to fraction form
    3,194.12/4,792 = 1,346.24/x
  3. Step 3: Cross multiply
    3,194.12x = 4,792 × 1,346.24
  4. Step 4: Simplify right side
    3,194.12x = 6,451,182.08
  5. Step 5: Solve for x
    x = 6,451,182.08/3,194.12
  6. Step 6: Final answer
    x = 2,019.71

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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.