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Finding the Fourth Proportional to 2,745.56, 4,118.34 and 665.56

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Solution

The fourth proportional to 2,745.56, 4,118.34 and 665.56 is: 998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 4,118.34 = 665.56 : x
  2. Step 2: Convert to fraction form
    2,745.56/4,118.34 = 665.56/x
  3. Step 3: Cross multiply
    2,745.56x = 4,118.34 × 665.56
  4. Step 4: Simplify right side
    2,745.56x = 2,740,981.78
  5. Step 5: Solve for x
    x = 2,740,981.78/2,745.56
  6. Step 6: Final answer
    x = 998.33

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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.