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Finding the Fourth Proportional to 3,230.54, 4,845.53 and 1,282.22

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Solution

The fourth proportional to 3,230.54, 4,845.53 and 1,282.22 is: 1,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.54 : 4,845.53 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    3,230.54/4,845.53 = 1,282.22/x
  3. Step 3: Cross multiply
    3,230.54x = 4,845.53 × 1,282.22
  4. Step 4: Simplify right side
    3,230.54x = 6,213,004.84
  5. Step 5: Solve for x
    x = 6,213,004.84/3,230.54
  6. Step 6: Final answer
    x = 1,923.21

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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.