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Finding the Fourth Proportional to 2,284.36, 3,425.76 and 823.24

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Solution

The fourth proportional to 2,284.36, 3,425.76 and 823.24 is: 1,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.36 : 3,425.76 = 823.24 : x
  2. Step 2: Convert to fraction form
    2,284.36/3,425.76 = 823.24/x
  3. Step 3: Cross multiply
    2,284.36x = 3,425.76 × 823.24
  4. Step 4: Simplify right side
    2,284.36x = 2,820,222.66
  5. Step 5: Solve for x
    x = 2,820,222.66/2,284.36
  6. Step 6: Final answer
    x = 1,234.58

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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.