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Finding the Fourth Proportional to 2,958.12, 4,082.02 and 1,778.44

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Solution

The fourth proportional to 2,958.12, 4,082.02 and 1,778.44 is: 2,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.12 : 4,082.02 = 1,778.44 : x
  2. Step 2: Convert to fraction form
    2,958.12/4,082.02 = 1,778.44/x
  3. Step 3: Cross multiply
    2,958.12x = 4,082.02 × 1,778.44
  4. Step 4: Simplify right side
    2,958.12x = 7,259,627.65
  5. Step 5: Solve for x
    x = 7,259,627.65/2,958.12
  6. Step 6: Final answer
    x = 2,454.14

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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.