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Finding the Fourth Proportional to 2,242.72, 3,096.34 and 1,446.42

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Solution

The fourth proportional to 2,242.72, 3,096.34 and 1,446.42 is: 1,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.72 : 3,096.34 = 1,446.42 : x
  2. Step 2: Convert to fraction form
    2,242.72/3,096.34 = 1,446.42/x
  3. Step 3: Cross multiply
    2,242.72x = 3,096.34 × 1,446.42
  4. Step 4: Simplify right side
    2,242.72x = 4,478,608.10
  5. Step 5: Solve for x
    x = 4,478,608.10/2,242.72
  6. Step 6: Final answer
    x = 1,996.95

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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.