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Finding the Fourth Proportional to 2,096.42, 3,138.48 and 1,469.54

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Solution

The fourth proportional to 2,096.42, 3,138.48 and 1,469.54 is: 2,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.42 : 3,138.48 = 1,469.54 : x
  2. Step 2: Convert to fraction form
    2,096.42/3,138.48 = 1,469.54/x
  3. Step 3: Cross multiply
    2,096.42x = 3,138.48 × 1,469.54
  4. Step 4: Simplify right side
    2,096.42x = 4,612,121.90
  5. Step 5: Solve for x
    x = 4,612,121.90/2,096.42
  6. Step 6: Final answer
    x = 2,200.00

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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.