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Finding the Fourth Proportional to 2,382.39, 3,288.36 and 1,674.39

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Solution

The fourth proportional to 2,382.39, 3,288.36 and 1,674.39 is: 2,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.39 : 3,288.36 = 1,674.39 : x
  2. Step 2: Convert to fraction form
    2,382.39/3,288.36 = 1,674.39/x
  3. Step 3: Cross multiply
    2,382.39x = 3,288.36 × 1,674.39
  4. Step 4: Simplify right side
    2,382.39x = 5,505,997.10
  5. Step 5: Solve for x
    x = 5,505,997.10/2,382.39
  6. Step 6: Final answer
    x = 2,311.12

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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.