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Finding the Fourth Proportional to 2,650.69, 3,976.04 and 1,826.48

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Solution

The fourth proportional to 2,650.69, 3,976.04 and 1,826.48 is: 2,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.69 : 3,976.04 = 1,826.48 : x
  2. Step 2: Convert to fraction form
    2,650.69/3,976.04 = 1,826.48/x
  3. Step 3: Cross multiply
    2,650.69x = 3,976.04 × 1,826.48
  4. Step 4: Simplify right side
    2,650.69x = 7,262,157.54
  5. Step 5: Solve for x
    x = 7,262,157.54/2,650.69
  6. Step 6: Final answer
    x = 2,739.72

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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.