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Finding the Fourth Proportional to 3,013.53, 4,519.83 and 822.44

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Solution

The fourth proportional to 3,013.53, 4,519.83 and 822.44 is: 1,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.53 : 4,519.83 = 822.44 : x
  2. Step 2: Convert to fraction form
    3,013.53/4,519.83 = 822.44/x
  3. Step 3: Cross multiply
    3,013.53x = 4,519.83 × 822.44
  4. Step 4: Simplify right side
    3,013.53x = 3,717,266.39
  5. Step 5: Solve for x
    x = 3,717,266.39/3,013.53
  6. Step 6: Final answer
    x = 1,233.53

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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.