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Finding the Fourth Proportional to 2,082.24, 3,123.84 and 621.54

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Solution

The fourth proportional to 2,082.24, 3,123.84 and 621.54 is: 932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 3,123.84 = 621.54 : x
  2. Step 2: Convert to fraction form
    2,082.24/3,123.84 = 621.54/x
  3. Step 3: Cross multiply
    2,082.24x = 3,123.84 × 621.54
  4. Step 4: Simplify right side
    2,082.24x = 1,941,591.51
  5. Step 5: Solve for x
    x = 1,941,591.51/2,082.24
  6. Step 6: Final answer
    x = 932.45

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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.