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Finding the Fourth Proportional to 3,169.28, 4,754.16 and 978.08

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Solution

The fourth proportional to 3,169.28, 4,754.16 and 978.08 is: 1,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.28 : 4,754.16 = 978.08 : x
  2. Step 2: Convert to fraction form
    3,169.28/4,754.16 = 978.08/x
  3. Step 3: Cross multiply
    3,169.28x = 4,754.16 × 978.08
  4. Step 4: Simplify right side
    3,169.28x = 4,649,948.81
  5. Step 5: Solve for x
    x = 4,649,948.81/3,169.28
  6. Step 6: Final answer
    x = 1,467.19

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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.