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Finding the Fourth Proportional to 2,284.85, 3,425.22 and 822.98

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Solution

The fourth proportional to 2,284.85, 3,425.22 and 822.98 is: 1,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.85 : 3,425.22 = 822.98 : x
  2. Step 2: Convert to fraction form
    2,284.85/3,425.22 = 822.98/x
  3. Step 3: Cross multiply
    2,284.85x = 3,425.22 × 822.98
  4. Step 4: Simplify right side
    2,284.85x = 2,818,887.56
  5. Step 5: Solve for x
    x = 2,818,887.56/2,284.85
  6. Step 6: Final answer
    x = 1,233.73

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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.