Home / 2,214.23-3,321.90-827.64

Finding the Fourth Proportional to 2,214.23, 3,321.90 and 827.64

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Solution

The fourth proportional to 2,214.23, 3,321.90 and 827.64 is: 1,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.23 : 3,321.90 = 827.64 : x
  2. Step 2: Convert to fraction form
    2,214.23/3,321.90 = 827.64/x
  3. Step 3: Cross multiply
    2,214.23x = 3,321.90 × 827.64
  4. Step 4: Simplify right side
    2,214.23x = 2,749,337.32
  5. Step 5: Solve for x
    x = 2,749,337.32/2,214.23
  6. Step 6: Final answer
    x = 1,241.67

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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.