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Finding the Fourth Proportional to 2,633.54, 3,634.34 and 1,454.63

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Solution

The fourth proportional to 2,633.54, 3,634.34 and 1,454.63 is: 2,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.54 : 3,634.34 = 1,454.63 : x
  2. Step 2: Convert to fraction form
    2,633.54/3,634.34 = 1,454.63/x
  3. Step 3: Cross multiply
    2,633.54x = 3,634.34 × 1,454.63
  4. Step 4: Simplify right side
    2,633.54x = 5,286,619.99
  5. Step 5: Solve for x
    x = 5,286,619.99/2,633.54
  6. Step 6: Final answer
    x = 2,007.42

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1.5x scale

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.