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Finding the Fourth Proportional to 2,906.37, 4,010.70 and 1,580.04

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Solution

The fourth proportional to 2,906.37, 4,010.70 and 1,580.04 is: 2,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.37 : 4,010.70 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    2,906.37/4,010.70 = 1,580.04/x
  3. Step 3: Cross multiply
    2,906.37x = 4,010.70 × 1,580.04
  4. Step 4: Simplify right side
    2,906.37x = 6,337,072.35
  5. Step 5: Solve for x
    x = 6,337,072.35/2,906.37
  6. Step 6: Final answer
    x = 2,180.41

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