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Finding the Fourth Proportional to 2,705.23, 4,057.53 and 757.59

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Solution

The fourth proportional to 2,705.23, 4,057.53 and 757.59 is: 1,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.23 : 4,057.53 = 757.59 : x
  2. Step 2: Convert to fraction form
    2,705.23/4,057.53 = 757.59/x
  3. Step 3: Cross multiply
    2,705.23x = 4,057.53 × 757.59
  4. Step 4: Simplify right side
    2,705.23x = 3,073,944.15
  5. Step 5: Solve for x
    x = 3,073,944.15/2,705.23
  6. Step 6: Final answer
    x = 1,136.30

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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.