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Finding the Fourth Proportional to 3,096.80, 4,272.24 and 1,916.96

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Solution

The fourth proportional to 3,096.80, 4,272.24 and 1,916.96 is: 2,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.80 : 4,272.24 = 1,916.96 : x
  2. Step 2: Convert to fraction form
    3,096.80/4,272.24 = 1,916.96/x
  3. Step 3: Cross multiply
    3,096.80x = 4,272.24 × 1,916.96
  4. Step 4: Simplify right side
    3,096.80x = 8,189,713.19
  5. Step 5: Solve for x
    x = 8,189,713.19/3,096.80
  6. Step 6: Final answer
    x = 2,644.57

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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.