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Finding the Fourth Proportional to 2,774, 3,826.18 and 2,682.48

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Solution

The fourth proportional to 2,774, 3,826.18 and 2,682.48 is: 3,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 3,826.18 = 2,682.48 : x
  2. Step 2: Convert to fraction form
    2,774/3,826.18 = 2,682.48/x
  3. Step 3: Cross multiply
    2,774x = 3,826.18 × 2,682.48
  4. Step 4: Simplify right side
    2,774x = 10,263,651.33
  5. Step 5: Solve for x
    x = 10,263,651.33/2,774
  6. Step 6: Final answer
    x = 3,699.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.