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Finding the Fourth Proportional to 3,274.54, 4,909.98 and 1,082.68

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Solution

The fourth proportional to 3,274.54, 4,909.98 and 1,082.68 is: 1,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.54 : 4,909.98 = 1,082.68 : x
  2. Step 2: Convert to fraction form
    3,274.54/4,909.98 = 1,082.68/x
  3. Step 3: Cross multiply
    3,274.54x = 4,909.98 × 1,082.68
  4. Step 4: Simplify right side
    3,274.54x = 5,315,937.15
  5. Step 5: Solve for x
    x = 5,315,937.15/3,274.54
  6. Step 6: Final answer
    x = 1,623.41

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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.