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Finding the Fourth Proportional to 2,730.87, 4,099.76 and 2,274.23

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Solution

The fourth proportional to 2,730.87, 4,099.76 and 2,274.23 is: 3,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.87 : 4,099.76 = 2,274.23 : x
  2. Step 2: Convert to fraction form
    2,730.87/4,099.76 = 2,274.23/x
  3. Step 3: Cross multiply
    2,730.87x = 4,099.76 × 2,274.23
  4. Step 4: Simplify right side
    2,730.87x = 9,323,797.18
  5. Step 5: Solve for x
    x = 9,323,797.18/2,730.87
  6. Step 6: Final answer
    x = 3,414.22

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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.