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Finding the Fourth Proportional to 2,082, 3,123 and 621.12

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Solution

The fourth proportional to 2,082, 3,123 and 621.12 is: 931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 3,123 = 621.12 : x
  2. Step 2: Convert to fraction form
    2,082/3,123 = 621.12/x
  3. Step 3: Cross multiply
    2,082x = 3,123 × 621.12
  4. Step 4: Simplify right side
    2,082x = 1,939,757.76
  5. Step 5: Solve for x
    x = 1,939,757.76/2,082
  6. Step 6: Final answer
    x = 931.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.