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Finding the Fourth Proportional to 2,401.47, 3,601.80 and 757.78

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Solution

The fourth proportional to 2,401.47, 3,601.80 and 757.78 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.47 : 3,601.80 = 757.78 : x
  2. Step 2: Convert to fraction form
    2,401.47/3,601.80 = 757.78/x
  3. Step 3: Cross multiply
    2,401.47x = 3,601.80 × 757.78
  4. Step 4: Simplify right side
    2,401.47x = 2,729,379.35
  5. Step 5: Solve for x
    x = 2,729,379.35/2,401.47
  6. Step 6: Final answer
    x = 1,136.54

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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.