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Finding the Fourth Proportional to 2,497.94, 3,744.25 and 1,879.73

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Solution

The fourth proportional to 2,497.94, 3,744.25 and 1,879.73 is: 2,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.94 : 3,744.25 = 1,879.73 : x
  2. Step 2: Convert to fraction form
    2,497.94/3,744.25 = 1,879.73/x
  3. Step 3: Cross multiply
    2,497.94x = 3,744.25 × 1,879.73
  4. Step 4: Simplify right side
    2,497.94x = 7,038,183.71
  5. Step 5: Solve for x
    x = 7,038,183.71/2,497.94
  6. Step 6: Final answer
    x = 2,817.59

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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.