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Finding the Fourth Proportional to 2,755.75, 4,136.34 and 1,440.80

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Solution

The fourth proportional to 2,755.75, 4,136.34 and 1,440.80 is: 2,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.75 : 4,136.34 = 1,440.80 : x
  2. Step 2: Convert to fraction form
    2,755.75/4,136.34 = 1,440.80/x
  3. Step 3: Cross multiply
    2,755.75x = 4,136.34 × 1,440.80
  4. Step 4: Simplify right side
    2,755.75x = 5,959,638.67
  5. Step 5: Solve for x
    x = 5,959,638.67/2,755.75
  6. Step 6: Final answer
    x = 2,162.62

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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.