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Finding the Fourth Proportional to 3,296.61, 4,945.46 and 1,447.65

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Solution

The fourth proportional to 3,296.61, 4,945.46 and 1,447.65 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.61 : 4,945.46 = 1,447.65 : x
  2. Step 2: Convert to fraction form
    3,296.61/4,945.46 = 1,447.65/x
  3. Step 3: Cross multiply
    3,296.61x = 4,945.46 × 1,447.65
  4. Step 4: Simplify right side
    3,296.61x = 7,159,287.93
  5. Step 5: Solve for x
    x = 7,159,287.93/3,296.61
  6. Step 6: Final answer
    x = 2,171.71

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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.