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Finding the Fourth Proportional to 2,082.14, 3,123.78 and 695.60

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Solution

The fourth proportional to 2,082.14, 3,123.78 and 695.60 is: 1,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.14 : 3,123.78 = 695.60 : x
  2. Step 2: Convert to fraction form
    2,082.14/3,123.78 = 695.60/x
  3. Step 3: Cross multiply
    2,082.14x = 3,123.78 × 695.60
  4. Step 4: Simplify right side
    2,082.14x = 2,172,901.37
  5. Step 5: Solve for x
    x = 2,172,901.37/2,082.14
  6. Step 6: Final answer
    x = 1,043.59

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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.