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Finding the Fourth Proportional to 3,169.44, 4,754.28 and 978.12

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Solution

The fourth proportional to 3,169.44, 4,754.28 and 978.12 is: 1,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.44 : 4,754.28 = 978.12 : x
  2. Step 2: Convert to fraction form
    3,169.44/4,754.28 = 978.12/x
  3. Step 3: Cross multiply
    3,169.44x = 4,754.28 × 978.12
  4. Step 4: Simplify right side
    3,169.44x = 4,650,256.35
  5. Step 5: Solve for x
    x = 4,650,256.35/3,169.44
  6. Step 6: Final answer
    x = 1,467.22

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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.