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Finding the Fourth Proportional to 2,201.85, 3,303.98 and 1,228.50

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Solution

The fourth proportional to 2,201.85, 3,303.98 and 1,228.50 is: 1,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.85 : 3,303.98 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    2,201.85/3,303.98 = 1,228.50/x
  3. Step 3: Cross multiply
    2,201.85x = 3,303.98 × 1,228.50
  4. Step 4: Simplify right side
    2,201.85x = 4,058,939.43
  5. Step 5: Solve for x
    x = 4,058,939.43/2,201.85
  6. Step 6: Final answer
    x = 1,843.42

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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.