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Finding the Fourth Proportional to 3,082.74, 4,252.80 and 2,021.64

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Solution

The fourth proportional to 3,082.74, 4,252.80 and 2,021.64 is: 2,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.74 : 4,252.80 = 2,021.64 : x
  2. Step 2: Convert to fraction form
    3,082.74/4,252.80 = 2,021.64/x
  3. Step 3: Cross multiply
    3,082.74x = 4,252.80 × 2,021.64
  4. Step 4: Simplify right side
    3,082.74x = 8,597,630.59
  5. Step 5: Solve for x
    x = 8,597,630.59/3,082.74
  6. Step 6: Final answer
    x = 2,788.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.