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Finding the Fourth Proportional to 1,728, 2,379.81 and 1,616.83

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Solution

The fourth proportional to 1,728, 2,379.81 and 1,616.83 is: 2,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,379.81 = 1,616.83 : x
  2. Step 2: Convert to fraction form
    1,728/2,379.81 = 1,616.83/x
  3. Step 3: Cross multiply
    1,728x = 2,379.81 × 1,616.83
  4. Step 4: Simplify right side
    1,728x = 3,847,748.20
  5. Step 5: Solve for x
    x = 3,847,748.20/1,728
  6. Step 6: Final answer
    x = 2,226.71

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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.