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Finding the Fourth Proportional to 3,082.44, 4,616.29 and 1,779.96

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Solution

The fourth proportional to 3,082.44, 4,616.29 and 1,779.96 is: 2,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.44 : 4,616.29 = 1,779.96 : x
  2. Step 2: Convert to fraction form
    3,082.44/4,616.29 = 1,779.96/x
  3. Step 3: Cross multiply
    3,082.44x = 4,616.29 × 1,779.96
  4. Step 4: Simplify right side
    3,082.44x = 8,216,811.55
  5. Step 5: Solve for x
    x = 8,216,811.55/3,082.44
  6. Step 6: Final answer
    x = 2,665.68

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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.