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Finding the Fourth Proportional to 2,650.91, 3,976.92 and 776.84

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Solution

The fourth proportional to 2,650.91, 3,976.92 and 776.84 is: 1,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.91 : 3,976.92 = 776.84 : x
  2. Step 2: Convert to fraction form
    2,650.91/3,976.92 = 776.84/x
  3. Step 3: Cross multiply
    2,650.91x = 3,976.92 × 776.84
  4. Step 4: Simplify right side
    2,650.91x = 3,089,410.65
  5. Step 5: Solve for x
    x = 3,089,410.65/2,650.91
  6. Step 6: Final answer
    x = 1,165.42

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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.