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Finding the Fourth Proportional to 3,274.25, 4,909.84 and 1,192.80

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Solution

The fourth proportional to 3,274.25, 4,909.84 and 1,192.80 is: 1,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.25 : 4,909.84 = 1,192.80 : x
  2. Step 2: Convert to fraction form
    3,274.25/4,909.84 = 1,192.80/x
  3. Step 3: Cross multiply
    3,274.25x = 4,909.84 × 1,192.80
  4. Step 4: Simplify right side
    3,274.25x = 5,856,457.15
  5. Step 5: Solve for x
    x = 5,856,457.15/3,274.25
  6. Step 6: Final answer
    x = 1,788.64

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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.