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Finding the Fourth Proportional to 2,266.96, 3,394.29 and 2,082.43

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Solution

The fourth proportional to 2,266.96, 3,394.29 and 2,082.43 is: 3,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.96 : 3,394.29 = 2,082.43 : x
  2. Step 2: Convert to fraction form
    2,266.96/3,394.29 = 2,082.43/x
  3. Step 3: Cross multiply
    2,266.96x = 3,394.29 × 2,082.43
  4. Step 4: Simplify right side
    2,266.96x = 7,068,389.99
  5. Step 5: Solve for x
    x = 7,068,389.99/2,266.96
  6. Step 6: Final answer
    x = 3,118.00

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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.