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Finding the Fourth Proportional to 3,228.80, 4,843.20 and 2,844.80

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Solution

The fourth proportional to 3,228.80, 4,843.20 and 2,844.80 is: 4,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.80 : 4,843.20 = 2,844.80 : x
  2. Step 2: Convert to fraction form
    3,228.80/4,843.20 = 2,844.80/x
  3. Step 3: Cross multiply
    3,228.80x = 4,843.20 × 2,844.80
  4. Step 4: Simplify right side
    3,228.80x = 13,777,935.36
  5. Step 5: Solve for x
    x = 13,777,935.36/3,228.80
  6. Step 6: Final answer
    x = 4,267.20

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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.