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Finding the Fourth Proportional to 2,190.76, 3,286.00 and 892.19

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Solution

The fourth proportional to 2,190.76, 3,286.00 and 892.19 is: 1,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,286.00 = 892.19 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,286.00 = 892.19/x
  3. Step 3: Cross multiply
    2,190.76x = 3,286.00 × 892.19
  4. Step 4: Simplify right side
    2,190.76x = 2,931,745.67
  5. Step 5: Solve for x
    x = 2,931,745.67/2,190.76
  6. Step 6: Final answer
    x = 1,338.23

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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.