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Finding the Fourth Proportional to 2,705.35, 4,057.76 and 757.57

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Solution

The fourth proportional to 2,705.35, 4,057.76 and 757.57 is: 1,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.35 : 4,057.76 = 757.57 : x
  2. Step 2: Convert to fraction form
    2,705.35/4,057.76 = 757.57/x
  3. Step 3: Cross multiply
    2,705.35x = 4,057.76 × 757.57
  4. Step 4: Simplify right side
    2,705.35x = 3,074,033.46
  5. Step 5: Solve for x
    x = 3,074,033.46/2,705.35
  6. Step 6: Final answer
    x = 1,136.28

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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.