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Finding the Fourth Proportional to 2,633.64, 3,634.36 and 1,454.68

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Solution

The fourth proportional to 2,633.64, 3,634.36 and 1,454.68 is: 2,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.64 : 3,634.36 = 1,454.68 : x
  2. Step 2: Convert to fraction form
    2,633.64/3,634.36 = 1,454.68/x
  3. Step 3: Cross multiply
    2,633.64x = 3,634.36 × 1,454.68
  4. Step 4: Simplify right side
    2,633.64x = 5,286,830.80
  5. Step 5: Solve for x
    x = 5,286,830.80/2,633.64
  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.