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Finding the Fourth Proportional to 2,082.10, 3,123.12 and 783.26

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Solution

The fourth proportional to 2,082.10, 3,123.12 and 783.26 is: 1,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.10 : 3,123.12 = 783.26 : x
  2. Step 2: Convert to fraction form
    2,082.10/3,123.12 = 783.26/x
  3. Step 3: Cross multiply
    2,082.10x = 3,123.12 × 783.26
  4. Step 4: Simplify right side
    2,082.10x = 2,446,214.97
  5. Step 5: Solve for x
    x = 2,446,214.97/2,082.10
  6. Step 6: Final answer
    x = 1,174.88

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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.