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Finding the Fourth Proportional to 2,773.62, 4,158.37 and 1,311.06

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Solution

The fourth proportional to 2,773.62, 4,158.37 and 1,311.06 is: 1,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.62 : 4,158.37 = 1,311.06 : x
  2. Step 2: Convert to fraction form
    2,773.62/4,158.37 = 1,311.06/x
  3. Step 3: Cross multiply
    2,773.62x = 4,158.37 × 1,311.06
  4. Step 4: Simplify right side
    2,773.62x = 5,451,872.57
  5. Step 5: Solve for x
    x = 5,451,872.57/2,773.62
  6. Step 6: Final answer
    x = 1,965.62

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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.