Home / 2,467.36-3,701.04-823.28

Finding the Fourth Proportional to 2,467.36, 3,701.04 and 823.28

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Solution

The fourth proportional to 2,467.36, 3,701.04 and 823.28 is: 1,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.36 : 3,701.04 = 823.28 : x
  2. Step 2: Convert to fraction form
    2,467.36/3,701.04 = 823.28/x
  3. Step 3: Cross multiply
    2,467.36x = 3,701.04 × 823.28
  4. Step 4: Simplify right side
    2,467.36x = 3,046,992.21
  5. Step 5: Solve for x
    x = 3,046,992.21/2,467.36
  6. Step 6: Final answer
    x = 1,234.92

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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.