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Finding the Fourth Proportional to 2,770.33, 4,157.31 and 1,309.63

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Solution

The fourth proportional to 2,770.33, 4,157.31 and 1,309.63 is: 1,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.33 : 4,157.31 = 1,309.63 : x
  2. Step 2: Convert to fraction form
    2,770.33/4,157.31 = 1,309.63/x
  3. Step 3: Cross multiply
    2,770.33x = 4,157.31 × 1,309.63
  4. Step 4: Simplify right side
    2,770.33x = 5,444,537.90
  5. Step 5: Solve for x
    x = 5,444,537.90/2,770.33
  6. Step 6: Final answer
    x = 1,965.30

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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.