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Finding the Fourth Proportional to 2,466.36, 3,698.31 and 822.33

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Solution

The fourth proportional to 2,466.36, 3,698.31 and 822.33 is: 1,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.36 : 3,698.31 = 822.33 : x
  2. Step 2: Convert to fraction form
    2,466.36/3,698.31 = 822.33/x
  3. Step 3: Cross multiply
    2,466.36x = 3,698.31 × 822.33
  4. Step 4: Simplify right side
    2,466.36x = 3,041,227.15
  5. Step 5: Solve for x
    x = 3,041,227.15/2,466.36
  6. Step 6: Final answer
    x = 1,233.08

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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.