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Finding the Fourth Proportional to 1,892.28, 2,837.34 and 722.22

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Solution

The fourth proportional to 1,892.28, 2,837.34 and 722.22 is: 1,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.28 : 2,837.34 = 722.22 : x
  2. Step 2: Convert to fraction form
    1,892.28/2,837.34 = 722.22/x
  3. Step 3: Cross multiply
    1,892.28x = 2,837.34 × 722.22
  4. Step 4: Simplify right side
    1,892.28x = 2,049,183.69
  5. Step 5: Solve for x
    x = 2,049,183.69/1,892.28
  6. Step 6: Final answer
    x = 1,082.92

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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.