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Finding the Fourth Proportional to 3,227, 4,453.54 and 2,047.64

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Solution

The fourth proportional to 3,227, 4,453.54 and 2,047.64 is: 2,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227 : 4,453.54 = 2,047.64 : x
  2. Step 2: Convert to fraction form
    3,227/4,453.54 = 2,047.64/x
  3. Step 3: Cross multiply
    3,227x = 4,453.54 × 2,047.64
  4. Step 4: Simplify right side
    3,227x = 9,119,246.65
  5. Step 5: Solve for x
    x = 9,119,246.65/3,227
  6. Step 6: Final answer
    x = 2,825.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.