Home / 2,467.44-3,701.36-823.98

Finding the Fourth Proportional to 2,467.44, 3,701.36 and 823.98

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Solution

The fourth proportional to 2,467.44, 3,701.36 and 823.98 is: 1,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.44 : 3,701.36 = 823.98 : x
  2. Step 2: Convert to fraction form
    2,467.44/3,701.36 = 823.98/x
  3. Step 3: Cross multiply
    2,467.44x = 3,701.36 × 823.98
  4. Step 4: Simplify right side
    2,467.44x = 3,049,862.55
  5. Step 5: Solve for x
    x = 3,049,862.55/2,467.44
  6. Step 6: Final answer
    x = 1,236.04

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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.