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Finding the Fourth Proportional to 3,274.40, 4,902.96 and 1,730.72

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Solution

The fourth proportional to 3,274.40, 4,902.96 and 1,730.72 is: 2,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.40 : 4,902.96 = 1,730.72 : x
  2. Step 2: Convert to fraction form
    3,274.40/4,902.96 = 1,730.72/x
  3. Step 3: Cross multiply
    3,274.40x = 4,902.96 × 1,730.72
  4. Step 4: Simplify right side
    3,274.40x = 8,485,650.93
  5. Step 5: Solve for x
    x = 8,485,650.93/3,274.40
  6. Step 6: Final answer
    x = 2,591.51

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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.