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Finding the Fourth Proportional to 2,017.90, 3,027.08 and 978.47

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Solution

The fourth proportional to 2,017.90, 3,027.08 and 978.47 is: 1,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.90 : 3,027.08 = 978.47 : x
  2. Step 2: Convert to fraction form
    2,017.90/3,027.08 = 978.47/x
  3. Step 3: Cross multiply
    2,017.90x = 3,027.08 × 978.47
  4. Step 4: Simplify right side
    2,017.90x = 2,961,906.97
  5. Step 5: Solve for x
    x = 2,961,906.97/2,017.90
  6. Step 6: Final answer
    x = 1,467.82

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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.