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Finding the Fourth Proportional to 2,082.33, 3,123.53 and 912.09

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Solution

The fourth proportional to 2,082.33, 3,123.53 and 912.09 is: 1,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.33 : 3,123.53 = 912.09 : x
  2. Step 2: Convert to fraction form
    2,082.33/3,123.53 = 912.09/x
  3. Step 3: Cross multiply
    2,082.33x = 3,123.53 × 912.09
  4. Step 4: Simplify right side
    2,082.33x = 2,848,935.92
  5. Step 5: Solve for x
    x = 2,848,935.92/2,082.33
  6. Step 6: Final answer
    x = 1,368.15

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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.