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Finding the Fourth Proportional to 2,770.82, 4,157.26 and 1,310.09

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Solution

The fourth proportional to 2,770.82, 4,157.26 and 1,310.09 is: 1,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.82 : 4,157.26 = 1,310.09 : x
  2. Step 2: Convert to fraction form
    2,770.82/4,157.26 = 1,310.09/x
  3. Step 3: Cross multiply
    2,770.82x = 4,157.26 × 1,310.09
  4. Step 4: Simplify right side
    2,770.82x = 5,446,384.75
  5. Step 5: Solve for x
    x = 5,446,384.75/2,770.82
  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.