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Finding the Fourth Proportional to 2,906.33, 4,010.72 and 1,580.03

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Solution

The fourth proportional to 2,906.33, 4,010.72 and 1,580.03 is: 2,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.33 : 4,010.72 = 1,580.03 : x
  2. Step 2: Convert to fraction form
    2,906.33/4,010.72 = 1,580.03/x
  3. Step 3: Cross multiply
    2,906.33x = 4,010.72 × 1,580.03
  4. Step 4: Simplify right side
    2,906.33x = 6,337,029.97
  5. Step 5: Solve for x
    x = 6,337,029.97/2,906.33
  6. Step 6: Final answer
    x = 2,180.43

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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.