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Finding the Fourth Proportional to 2,082.98, 3,123.84 and 695.96

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Solution

The fourth proportional to 2,082.98, 3,123.84 and 695.96 is: 1,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.98 : 3,123.84 = 695.96 : x
  2. Step 2: Convert to fraction form
    2,082.98/3,123.84 = 695.96/x
  3. Step 3: Cross multiply
    2,082.98x = 3,123.84 × 695.96
  4. Step 4: Simplify right side
    2,082.98x = 2,174,067.69
  5. Step 5: Solve for x
    x = 2,174,067.69/2,082.98
  6. Step 6: Final answer
    x = 1,043.73

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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.