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Finding the Fourth Proportional to 2,179.38, 3,007.46 and 1,184.64

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Solution

The fourth proportional to 2,179.38, 3,007.46 and 1,184.64 is: 1,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.38 : 3,007.46 = 1,184.64 : x
  2. Step 2: Convert to fraction form
    2,179.38/3,007.46 = 1,184.64/x
  3. Step 3: Cross multiply
    2,179.38x = 3,007.46 × 1,184.64
  4. Step 4: Simplify right side
    2,179.38x = 3,562,757.41
  5. Step 5: Solve for x
    x = 3,562,757.41/2,179.38
  6. Step 6: Final answer
    x = 1,634.76

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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.