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Finding the Fourth Proportional to 4,222.80, 6,333.60 and 1,449.60

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Solution

The fourth proportional to 4,222.80, 6,333.60 and 1,449.60 is: 2,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.80 : 6,333.60 = 1,449.60 : x
  2. Step 2: Convert to fraction form
    4,222.80/6,333.60 = 1,449.60/x
  3. Step 3: Cross multiply
    4,222.80x = 6,333.60 × 1,449.60
  4. Step 4: Simplify right side
    4,222.80x = 9,181,186.56
  5. Step 5: Solve for x
    x = 9,181,186.56/4,222.80
  6. Step 6: Final answer
    x = 2,174.19

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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.