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Finding the Fourth Proportional to 2,082.83, 3,124.83 and 622.04

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Solution

The fourth proportional to 2,082.83, 3,124.83 and 622.04 is: 933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.83 : 3,124.83 = 622.04 : x
  2. Step 2: Convert to fraction form
    2,082.83/3,124.83 = 622.04/x
  3. Step 3: Cross multiply
    2,082.83x = 3,124.83 × 622.04
  4. Step 4: Simplify right side
    2,082.83x = 1,943,769.25
  5. Step 5: Solve for x
    x = 1,943,769.25/2,082.83
  6. Step 6: Final answer
    x = 933.23

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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.