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Finding the Fourth Proportional to 2,564.08, 3,846.12 and 1,467.67

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Solution

The fourth proportional to 2,564.08, 3,846.12 and 1,467.67 is: 2,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.08 : 3,846.12 = 1,467.67 : x
  2. Step 2: Convert to fraction form
    2,564.08/3,846.12 = 1,467.67/x
  3. Step 3: Cross multiply
    2,564.08x = 3,846.12 × 1,467.67
  4. Step 4: Simplify right side
    2,564.08x = 5,644,834.94
  5. Step 5: Solve for x
    x = 5,644,834.94/2,564.08
  6. Step 6: Final answer
    x = 2,201.51

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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.