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Finding the Fourth Proportional to 2,828.09, 4,240.77 and 978.56

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Solution

The fourth proportional to 2,828.09, 4,240.77 and 978.56 is: 1,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.09 : 4,240.77 = 978.56 : x
  2. Step 2: Convert to fraction form
    2,828.09/4,240.77 = 978.56/x
  3. Step 3: Cross multiply
    2,828.09x = 4,240.77 × 978.56
  4. Step 4: Simplify right side
    2,828.09x = 4,149,858.49
  5. Step 5: Solve for x
    x = 4,149,858.49/2,828.09
  6. Step 6: Final answer
    x = 1,467.37

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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.