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Finding the Fourth Proportional to 2,525.91, 3,786.42 and 1,226.67

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Solution

The fourth proportional to 2,525.91, 3,786.42 and 1,226.67 is: 1,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.91 : 3,786.42 = 1,226.67 : x
  2. Step 2: Convert to fraction form
    2,525.91/3,786.42 = 1,226.67/x
  3. Step 3: Cross multiply
    2,525.91x = 3,786.42 × 1,226.67
  4. Step 4: Simplify right side
    2,525.91x = 4,644,687.82
  5. Step 5: Solve for x
    x = 4,644,687.82/2,525.91
  6. Step 6: Final answer
    x = 1,838.82

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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.