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Finding the Fourth Proportional to 1,613.83, 2,226.97 and 905.65

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Solution

The fourth proportional to 1,613.83, 2,226.97 and 905.65 is: 1,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.83 : 2,226.97 = 905.65 : x
  2. Step 2: Convert to fraction form
    1,613.83/2,226.97 = 905.65/x
  3. Step 3: Cross multiply
    1,613.83x = 2,226.97 × 905.65
  4. Step 4: Simplify right side
    1,613.83x = 2,016,855.38
  5. Step 5: Solve for x
    x = 2,016,855.38/1,613.83
  6. Step 6: Final answer
    x = 1,249.73

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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.