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Finding the Fourth Proportional to 2,017.78, 3,027.30 and 908.14

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Solution

The fourth proportional to 2,017.78, 3,027.30 and 908.14 is: 1,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.78 : 3,027.30 = 908.14 : x
  2. Step 2: Convert to fraction form
    2,017.78/3,027.30 = 908.14/x
  3. Step 3: Cross multiply
    2,017.78x = 3,027.30 × 908.14
  4. Step 4: Simplify right side
    2,017.78x = 2,749,212.22
  5. Step 5: Solve for x
    x = 2,749,212.22/2,017.78
  6. Step 6: Final answer
    x = 1,362.49

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1.5x scale

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.