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Finding the Fourth Proportional to 2,525.67, 3,786.20 and 2,138.16

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Solution

The fourth proportional to 2,525.67, 3,786.20 and 2,138.16 is: 3,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.67 : 3,786.20 = 2,138.16 : x
  2. Step 2: Convert to fraction form
    2,525.67/3,786.20 = 2,138.16/x
  3. Step 3: Cross multiply
    2,525.67x = 3,786.20 × 2,138.16
  4. Step 4: Simplify right side
    2,525.67x = 8,095,512.92
  5. Step 5: Solve for x
    x = 8,095,512.92/2,525.67
  6. Step 6: Final answer
    x = 3,205.29

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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.