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Finding the Fourth Proportional to 2,564, 3,846.09 and 1,467.86

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Solution

The fourth proportional to 2,564, 3,846.09 and 1,467.86 is: 2,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564 : 3,846.09 = 1,467.86 : x
  2. Step 2: Convert to fraction form
    2,564/3,846.09 = 1,467.86/x
  3. Step 3: Cross multiply
    2,564x = 3,846.09 × 1,467.86
  4. Step 4: Simplify right side
    2,564x = 5,645,521.67
  5. Step 5: Solve for x
    x = 5,645,521.67/2,564
  6. Step 6: Final answer
    x = 2,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.