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Finding the Fourth Proportional to 2,472.75, 3,704.96 and 1,740.98

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Solution

The fourth proportional to 2,472.75, 3,704.96 and 1,740.98 is: 2,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.75 : 3,704.96 = 1,740.98 : x
  2. Step 2: Convert to fraction form
    2,472.75/3,704.96 = 1,740.98/x
  3. Step 3: Cross multiply
    2,472.75x = 3,704.96 × 1,740.98
  4. Step 4: Simplify right side
    2,472.75x = 6,450,234.03
  5. Step 5: Solve for x
    x = 6,450,234.03/2,472.75
  6. Step 6: Final answer
    x = 2,608.53

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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.