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Finding the Fourth Proportional to 2,586.45, 3,879.68 and 1,354.22

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Solution

The fourth proportional to 2,586.45, 3,879.68 and 1,354.22 is: 2,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.45 : 3,879.68 = 1,354.22 : x
  2. Step 2: Convert to fraction form
    2,586.45/3,879.68 = 1,354.22/x
  3. Step 3: Cross multiply
    2,586.45x = 3,879.68 × 1,354.22
  4. Step 4: Simplify right side
    2,586.45x = 5,253,936.25
  5. Step 5: Solve for x
    x = 5,253,936.25/2,586.45
  6. Step 6: Final answer
    x = 2,031.33

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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.