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Finding the Fourth Proportional to 2,082.12, 3,123.78 and 621.30

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Solution

The fourth proportional to 2,082.12, 3,123.78 and 621.30 is: 932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.12 : 3,123.78 = 621.30 : x
  2. Step 2: Convert to fraction form
    2,082.12/3,123.78 = 621.30/x
  3. Step 3: Cross multiply
    2,082.12x = 3,123.78 × 621.30
  4. Step 4: Simplify right side
    2,082.12x = 1,940,804.51
  5. Step 5: Solve for x
    x = 1,940,804.51/2,082.12
  6. Step 6: Final answer
    x = 932.13

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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.