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Finding the Fourth Proportional to 2,466.38, 3,699.61 and 822.96

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Solution

The fourth proportional to 2,466.38, 3,699.61 and 822.96 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.38 : 3,699.61 = 822.96 : x
  2. Step 2: Convert to fraction form
    2,466.38/3,699.61 = 822.96/x
  3. Step 3: Cross multiply
    2,466.38x = 3,699.61 × 822.96
  4. Step 4: Simplify right side
    2,466.38x = 3,044,628.99
  5. Step 5: Solve for x
    x = 3,044,628.99/2,466.38
  6. Step 6: Final answer
    x = 1,234.45

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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.