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Finding the Fourth Proportional to 3,077.22, 4,614.84 and 996.79

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Solution

The fourth proportional to 3,077.22, 4,614.84 and 996.79 is: 1,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.22 : 4,614.84 = 996.79 : x
  2. Step 2: Convert to fraction form
    3,077.22/4,614.84 = 996.79/x
  3. Step 3: Cross multiply
    3,077.22x = 4,614.84 × 996.79
  4. Step 4: Simplify right side
    3,077.22x = 4,600,023.48
  5. Step 5: Solve for x
    x = 4,600,023.48/3,077.22
  6. Step 6: Final answer
    x = 1,494.86

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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.