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Finding the Fourth Proportional to 2,705.30, 4,057.65 and 757.70

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Solution

The fourth proportional to 2,705.30, 4,057.65 and 757.70 is: 1,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.30 : 4,057.65 = 757.70 : x
  2. Step 2: Convert to fraction form
    2,705.30/4,057.65 = 757.70/x
  3. Step 3: Cross multiply
    2,705.30x = 4,057.65 × 757.70
  4. Step 4: Simplify right side
    2,705.30x = 3,074,481.41
  5. Step 5: Solve for x
    x = 3,074,481.41/2,705.30
  6. Step 6: Final answer
    x = 1,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.