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Finding the Fourth Proportional to 2,466.69, 3,698.49 and 822.81

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Solution

The fourth proportional to 2,466.69, 3,698.49 and 822.81 is: 1,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.69 : 3,698.49 = 822.81 : x
  2. Step 2: Convert to fraction form
    2,466.69/3,698.49 = 822.81/x
  3. Step 3: Cross multiply
    2,466.69x = 3,698.49 × 822.81
  4. Step 4: Simplify right side
    2,466.69x = 3,043,154.56
  5. Step 5: Solve for x
    x = 3,043,154.56/2,466.69
  6. Step 6: Final answer
    x = 1,233.70

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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.