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Finding the Fourth Proportional to 3,274.99, 4,909.61 and 1,194.50

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Solution

The fourth proportional to 3,274.99, 4,909.61 and 1,194.50 is: 1,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.99 : 4,909.61 = 1,194.50 : x
  2. Step 2: Convert to fraction form
    3,274.99/4,909.61 = 1,194.50/x
  3. Step 3: Cross multiply
    3,274.99x = 4,909.61 × 1,194.50
  4. Step 4: Simplify right side
    3,274.99x = 5,864,544.41
  5. Step 5: Solve for x
    x = 5,864,544.41/3,274.99
  6. Step 6: Final answer
    x = 1,790.71

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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.