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Finding the Fourth Proportional to 2,466.26, 3,699.05 and 822.77

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Solution

The fourth proportional to 2,466.26, 3,699.05 and 822.77 is: 1,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.26 : 3,699.05 = 822.77 : x
  2. Step 2: Convert to fraction form
    2,466.26/3,699.05 = 822.77/x
  3. Step 3: Cross multiply
    2,466.26x = 3,699.05 × 822.77
  4. Step 4: Simplify right side
    2,466.26x = 3,043,444.76
  5. Step 5: Solve for x
    x = 3,043,444.76/2,466.26
  6. Step 6: Final answer
    x = 1,234.03

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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.