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Finding the Fourth Proportional to 2,633.44, 3,634.16 and 1,454.62

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Solution

The fourth proportional to 2,633.44, 3,634.16 and 1,454.62 is: 2,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.44 : 3,634.16 = 1,454.62 : x
  2. Step 2: Convert to fraction form
    2,633.44/3,634.16 = 1,454.62/x
  3. Step 3: Cross multiply
    2,633.44x = 3,634.16 × 1,454.62
  4. Step 4: Simplify right side
    2,633.44x = 5,286,305.46
  5. Step 5: Solve for x
    x = 5,286,305.46/2,633.44
  6. Step 6: Final answer
    x = 2,007.38

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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.