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Finding the Fourth Proportional to 2,082.24, 3,123.83 and 695.59

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Solution

The fourth proportional to 2,082.24, 3,123.83 and 695.59 is: 1,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 3,123.83 = 695.59 : x
  2. Step 2: Convert to fraction form
    2,082.24/3,123.83 = 695.59/x
  3. Step 3: Cross multiply
    2,082.24x = 3,123.83 × 695.59
  4. Step 4: Simplify right side
    2,082.24x = 2,172,898.84
  5. Step 5: Solve for x
    x = 2,172,898.84/2,082.24
  6. Step 6: Final answer
    x = 1,043.54

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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.