Home / 2,467.31-3,701.07-823.91

Finding the Fourth Proportional to 2,467.31, 3,701.07 and 823.91

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Solution

The fourth proportional to 2,467.31, 3,701.07 and 823.91 is: 1,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.31 : 3,701.07 = 823.91 : x
  2. Step 2: Convert to fraction form
    2,467.31/3,701.07 = 823.91/x
  3. Step 3: Cross multiply
    2,467.31x = 3,701.07 × 823.91
  4. Step 4: Simplify right side
    2,467.31x = 3,049,348.58
  5. Step 5: Solve for x
    x = 3,049,348.58/2,467.31
  6. Step 6: Final answer
    x = 1,235.90

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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.