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Finding the Fourth Proportional to 2,641.43, 3,644.79 and 1,522.20

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Solution

The fourth proportional to 2,641.43, 3,644.79 and 1,522.20 is: 2,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.43 : 3,644.79 = 1,522.20 : x
  2. Step 2: Convert to fraction form
    2,641.43/3,644.79 = 1,522.20/x
  3. Step 3: Cross multiply
    2,641.43x = 3,644.79 × 1,522.20
  4. Step 4: Simplify right side
    2,641.43x = 5,548,099.34
  5. Step 5: Solve for x
    x = 5,548,099.34/2,641.43
  6. Step 6: Final answer
    x = 2,100.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.