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Finding the Fourth Proportional to 2,082.17, 3,122.96 and 621.14

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Solution

The fourth proportional to 2,082.17, 3,122.96 and 621.14 is: 931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.17 : 3,122.96 = 621.14 : x
  2. Step 2: Convert to fraction form
    2,082.17/3,122.96 = 621.14/x
  3. Step 3: Cross multiply
    2,082.17x = 3,122.96 × 621.14
  4. Step 4: Simplify right side
    2,082.17x = 1,939,776.65
  5. Step 5: Solve for x
    x = 1,939,776.65/2,082.17
  6. Step 6: Final answer
    x = 931.61

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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.