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Finding the Fourth Proportional to 3,027, 4,178.22 and 2,201.40

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Solution

The fourth proportional to 3,027, 4,178.22 and 2,201.40 is: 3,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027 : 4,178.22 = 2,201.40 : x
  2. Step 2: Convert to fraction form
    3,027/4,178.22 = 2,201.40/x
  3. Step 3: Cross multiply
    3,027x = 4,178.22 × 2,201.40
  4. Step 4: Simplify right side
    3,027x = 9,197,933.51
  5. Step 5: Solve for x
    x = 9,197,933.51/3,027
  6. Step 6: Final answer
    x = 3,038.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.