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Finding the Fourth Proportional to 2,730.83, 4,099.71 and 2,274.20

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Solution

The fourth proportional to 2,730.83, 4,099.71 and 2,274.20 is: 3,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.83 : 4,099.71 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    2,730.83/4,099.71 = 2,274.20/x
  3. Step 3: Cross multiply
    2,730.83x = 4,099.71 × 2,274.20
  4. Step 4: Simplify right side
    2,730.83x = 9,323,539.98
  5. Step 5: Solve for x
    x = 9,323,539.98/2,730.83
  6. Step 6: Final answer
    x = 3,414.18

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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.