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Finding the Fourth Proportional to 2,958.95, 4,082.90 and 1,682.70

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Solution

The fourth proportional to 2,958.95, 4,082.90 and 1,682.70 is: 2,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.95 : 4,082.90 = 1,682.70 : x
  2. Step 2: Convert to fraction form
    2,958.95/4,082.90 = 1,682.70/x
  3. Step 3: Cross multiply
    2,958.95x = 4,082.90 × 1,682.70
  4. Step 4: Simplify right side
    2,958.95x = 6,870,287.42
  5. Step 5: Solve for x
    x = 6,870,287.42/2,958.95
  6. Step 6: Final answer
    x = 2,321.87

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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.