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Finding the Fourth Proportional to 3,194.11, 4,792.99 and 1,245.86

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Solution

The fourth proportional to 3,194.11, 4,792.99 and 1,245.86 is: 1,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.11 : 4,792.99 = 1,245.86 : x
  2. Step 2: Convert to fraction form
    3,194.11/4,792.99 = 1,245.86/x
  3. Step 3: Cross multiply
    3,194.11x = 4,792.99 × 1,245.86
  4. Step 4: Simplify right side
    3,194.11x = 5,971,387.75
  5. Step 5: Solve for x
    x = 5,971,387.75/3,194.11
  6. Step 6: Final answer
    x = 1,869.50

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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.