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Finding the Fourth Proportional to 2,638.36, 3,956.37 and 1,405.54

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Solution

The fourth proportional to 2,638.36, 3,956.37 and 1,405.54 is: 2,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.36 : 3,956.37 = 1,405.54 : x
  2. Step 2: Convert to fraction form
    2,638.36/3,956.37 = 1,405.54/x
  3. Step 3: Cross multiply
    2,638.36x = 3,956.37 × 1,405.54
  4. Step 4: Simplify right side
    2,638.36x = 5,560,836.29
  5. Step 5: Solve for x
    x = 5,560,836.29/2,638.36
  6. Step 6: Final answer
    x = 2,107.69

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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.