Home / 2,467.87-3,700.67-823.97

Finding the Fourth Proportional to 2,467.87, 3,700.67 and 823.97

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Solution

The fourth proportional to 2,467.87, 3,700.67 and 823.97 is: 1,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.87 : 3,700.67 = 823.97 : x
  2. Step 2: Convert to fraction form
    2,467.87/3,700.67 = 823.97/x
  3. Step 3: Cross multiply
    2,467.87x = 3,700.67 × 823.97
  4. Step 4: Simplify right side
    2,467.87x = 3,049,246.19
  5. Step 5: Solve for x
    x = 3,049,246.19/2,467.87
  6. Step 6: Final answer
    x = 1,235.58

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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.