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Finding the Fourth Proportional to 2,039.34, 3,056.91 and 806.25

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Solution

The fourth proportional to 2,039.34, 3,056.91 and 806.25 is: 1,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.34 : 3,056.91 = 806.25 : x
  2. Step 2: Convert to fraction form
    2,039.34/3,056.91 = 806.25/x
  3. Step 3: Cross multiply
    2,039.34x = 3,056.91 × 806.25
  4. Step 4: Simplify right side
    2,039.34x = 2,464,633.69
  5. Step 5: Solve for x
    x = 2,464,633.69/2,039.34
  6. Step 6: Final answer
    x = 1,208.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.