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Finding the Fourth Proportional to 3,077.76, 4,230.89 and 2,650.80

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Solution

The fourth proportional to 3,077.76, 4,230.89 and 2,650.80 is: 3,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.76 : 4,230.89 = 2,650.80 : x
  2. Step 2: Convert to fraction form
    3,077.76/4,230.89 = 2,650.80/x
  3. Step 3: Cross multiply
    3,077.76x = 4,230.89 × 2,650.80
  4. Step 4: Simplify right side
    3,077.76x = 11,215,229.96
  5. Step 5: Solve for x
    x = 11,215,229.96/3,077.76
  6. Step 6: Final answer
    x = 3,643.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.