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Finding the Fourth Proportional to 2,726.43, 4,089.64 and 994.65

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Solution

The fourth proportional to 2,726.43, 4,089.64 and 994.65 is: 1,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.43 : 4,089.64 = 994.65 : x
  2. Step 2: Convert to fraction form
    2,726.43/4,089.64 = 994.65/x
  3. Step 3: Cross multiply
    2,726.43x = 4,089.64 × 994.65
  4. Step 4: Simplify right side
    2,726.43x = 4,067,760.43
  5. Step 5: Solve for x
    x = 4,067,760.43/2,726.43
  6. Step 6: Final answer
    x = 1,491.97

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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.