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Finding the Fourth Proportional to 2,638.56, 3,961.08 and 2,418.24

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Solution

The fourth proportional to 2,638.56, 3,961.08 and 2,418.24 is: 3,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.56 : 3,961.08 = 2,418.24 : x
  2. Step 2: Convert to fraction form
    2,638.56/3,961.08 = 2,418.24/x
  3. Step 3: Cross multiply
    2,638.56x = 3,961.08 × 2,418.24
  4. Step 4: Simplify right side
    2,638.56x = 9,578,842.10
  5. Step 5: Solve for x
    x = 9,578,842.10/2,638.56
  6. Step 6: Final answer
    x = 3,630.33

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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.