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Finding the Fourth Proportional to 2,906.37, 4,010.81 and 1,580.10

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Solution

The fourth proportional to 2,906.37, 4,010.81 and 1,580.10 is: 2,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.37 : 4,010.81 = 1,580.10 : x
  2. Step 2: Convert to fraction form
    2,906.37/4,010.81 = 1,580.10/x
  3. Step 3: Cross multiply
    2,906.37x = 4,010.81 × 1,580.10
  4. Step 4: Simplify right side
    2,906.37x = 6,337,472.98
  5. Step 5: Solve for x
    x = 6,337,472.98/2,906.37
  6. Step 6: Final answer
    x = 2,180.55

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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.