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Finding the Fourth Proportional to 2,813.64, 4,221.08 and 1,082.22

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Solution

The fourth proportional to 2,813.64, 4,221.08 and 1,082.22 is: 1,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.64 : 4,221.08 = 1,082.22 : x
  2. Step 2: Convert to fraction form
    2,813.64/4,221.08 = 1,082.22/x
  3. Step 3: Cross multiply
    2,813.64x = 4,221.08 × 1,082.22
  4. Step 4: Simplify right side
    2,813.64x = 4,568,137.20
  5. Step 5: Solve for x
    x = 4,568,137.20/2,813.64
  6. Step 6: Final answer
    x = 1,623.57

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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.