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Finding the Fourth Proportional to 3,203.40, 4,815.90 and 2,728.20

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Solution

The fourth proportional to 3,203.40, 4,815.90 and 2,728.20 is: 4,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.40 : 4,815.90 = 2,728.20 : x
  2. Step 2: Convert to fraction form
    3,203.40/4,815.90 = 2,728.20/x
  3. Step 3: Cross multiply
    3,203.40x = 4,815.90 × 2,728.20
  4. Step 4: Simplify right side
    3,203.40x = 13,138,738.38
  5. Step 5: Solve for x
    x = 13,138,738.38/3,203.40
  6. Step 6: Final answer
    x = 4,101.50

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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.