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Finding the Fourth Proportional to 3,082.12, 4,623.41 and 890.73

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Solution

The fourth proportional to 3,082.12, 4,623.41 and 890.73 is: 1,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.12 : 4,623.41 = 890.73 : x
  2. Step 2: Convert to fraction form
    3,082.12/4,623.41 = 890.73/x
  3. Step 3: Cross multiply
    3,082.12x = 4,623.41 × 890.73
  4. Step 4: Simplify right side
    3,082.12x = 4,118,212.22
  5. Step 5: Solve for x
    x = 4,118,212.22/3,082.12
  6. Step 6: Final answer
    x = 1,336.16

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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.