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Finding the Fourth Proportional to 2,284.06, 3,426 and 823.24

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Solution

The fourth proportional to 2,284.06, 3,426 and 823.24 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.06 : 3,426 = 823.24 : x
  2. Step 2: Convert to fraction form
    2,284.06/3,426 = 823.24/x
  3. Step 3: Cross multiply
    2,284.06x = 3,426 × 823.24
  4. Step 4: Simplify right side
    2,284.06x = 2,820,420.24
  5. Step 5: Solve for x
    x = 2,820,420.24/2,284.06
  6. Step 6: Final answer
    x = 1,234.83

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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.