Home / 2,467.74-3,701.51-823.85

Finding the Fourth Proportional to 2,467.74, 3,701.51 and 823.85

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Solution

The fourth proportional to 2,467.74, 3,701.51 and 823.85 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.74 : 3,701.51 = 823.85 : x
  2. Step 2: Convert to fraction form
    2,467.74/3,701.51 = 823.85/x
  3. Step 3: Cross multiply
    2,467.74x = 3,701.51 × 823.85
  4. Step 4: Simplify right side
    2,467.74x = 3,049,489.01
  5. Step 5: Solve for x
    x = 3,049,489.01/2,467.74
  6. Step 6: Final answer
    x = 1,235.74

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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.