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Finding the Fourth Proportional to 2,674.14, 3,686.94 and 1,728.33

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Solution

The fourth proportional to 2,674.14, 3,686.94 and 1,728.33 is: 2,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.14 : 3,686.94 = 1,728.33 : x
  2. Step 2: Convert to fraction form
    2,674.14/3,686.94 = 1,728.33/x
  3. Step 3: Cross multiply
    2,674.14x = 3,686.94 × 1,728.33
  4. Step 4: Simplify right side
    2,674.14x = 6,372,249.01
  5. Step 5: Solve for x
    x = 6,372,249.01/2,674.14
  6. Step 6: Final answer
    x = 2,382.92

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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.