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Finding the Fourth Proportional to 3,013.38, 4,519.60 and 822.28

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Solution

The fourth proportional to 3,013.38, 4,519.60 and 822.28 is: 1,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.38 : 4,519.60 = 822.28 : x
  2. Step 2: Convert to fraction form
    3,013.38/4,519.60 = 822.28/x
  3. Step 3: Cross multiply
    3,013.38x = 4,519.60 × 822.28
  4. Step 4: Simplify right side
    3,013.38x = 3,716,376.69
  5. Step 5: Solve for x
    x = 3,716,376.69/3,013.38
  6. Step 6: Final answer
    x = 1,233.29

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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.