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Finding the Fourth Proportional to 2,214.20, 3,028.27 and 2,214.20

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Solution

The fourth proportional to 2,214.20, 3,028.27 and 2,214.20 is: 3,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.20 : 3,028.27 = 2,214.20 : x
  2. Step 2: Convert to fraction form
    2,214.20/3,028.27 = 2,214.20/x
  3. Step 3: Cross multiply
    2,214.20x = 3,028.27 × 2,214.20
  4. Step 4: Simplify right side
    2,214.20x = 6,705,195.43
  5. Step 5: Solve for x
    x = 6,705,195.43/2,214.20
  6. Step 6: Final answer
    x = 3,028.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.