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Finding the Fourth Proportional to 2,906.81, 4,011.37 and 1,580.48

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Solution

The fourth proportional to 2,906.81, 4,011.37 and 1,580.48 is: 2,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.81 : 4,011.37 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    2,906.81/4,011.37 = 1,580.48/x
  3. Step 3: Cross multiply
    2,906.81x = 4,011.37 × 1,580.48
  4. Step 4: Simplify right side
    2,906.81x = 6,339,866.05
  5. Step 5: Solve for x
    x = 6,339,866.05/2,906.81
  6. Step 6: Final answer
    x = 2,181.04

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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.