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Finding the Fourth Proportional to 2,021.17, 3,027.64 and 978.03

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Solution

The fourth proportional to 2,021.17, 3,027.64 and 978.03 is: 1,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.17 : 3,027.64 = 978.03 : x
  2. Step 2: Convert to fraction form
    2,021.17/3,027.64 = 978.03/x
  3. Step 3: Cross multiply
    2,021.17x = 3,027.64 × 978.03
  4. Step 4: Simplify right side
    2,021.17x = 2,961,122.75
  5. Step 5: Solve for x
    x = 2,961,122.75/2,021.17
  6. Step 6: Final answer
    x = 1,465.05

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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.