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Finding the Fourth Proportional to 2,828.44, 4,241.29 and 978.90

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Solution

The fourth proportional to 2,828.44, 4,241.29 and 978.90 is: 1,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.44 : 4,241.29 = 978.90 : x
  2. Step 2: Convert to fraction form
    2,828.44/4,241.29 = 978.90/x
  3. Step 3: Cross multiply
    2,828.44x = 4,241.29 × 978.90
  4. Step 4: Simplify right side
    2,828.44x = 4,151,798.78
  5. Step 5: Solve for x
    x = 4,151,798.78/2,828.44
  6. Step 6: Final answer
    x = 1,467.88

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Why These Related Problems?

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