Home / 2,284.91-3,425.30-823.04

Finding the Fourth Proportional to 2,284.91, 3,425.30 and 823.04

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Solution

The fourth proportional to 2,284.91, 3,425.30 and 823.04 is: 1,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.91 : 3,425.30 = 823.04 : x
  2. Step 2: Convert to fraction form
    2,284.91/3,425.30 = 823.04/x
  3. Step 3: Cross multiply
    2,284.91x = 3,425.30 × 823.04
  4. Step 4: Simplify right side
    2,284.91x = 2,819,143.84
  5. Step 5: Solve for x
    x = 2,819,143.84/2,284.91
  6. Step 6: Final answer
    x = 1,233.81

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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.