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Finding the Fourth Proportional to 3,274.39, 4,909.32 and 1,082.80

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Solution

The fourth proportional to 3,274.39, 4,909.32 and 1,082.80 is: 1,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.39 : 4,909.32 = 1,082.80 : x
  2. Step 2: Convert to fraction form
    3,274.39/4,909.32 = 1,082.80/x
  3. Step 3: Cross multiply
    3,274.39x = 4,909.32 × 1,082.80
  4. Step 4: Simplify right side
    3,274.39x = 5,315,811.70
  5. Step 5: Solve for x
    x = 5,315,811.70/3,274.39
  6. Step 6: Final answer
    x = 1,623.45

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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.