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Finding the Fourth Proportional to 1,634.04, 2,449.04 and 1,194.21

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Solution

The fourth proportional to 1,634.04, 2,449.04 and 1,194.21 is: 1,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.04 : 2,449.04 = 1,194.21 : x
  2. Step 2: Convert to fraction form
    1,634.04/2,449.04 = 1,194.21/x
  3. Step 3: Cross multiply
    1,634.04x = 2,449.04 × 1,194.21
  4. Step 4: Simplify right side
    1,634.04x = 2,924,662.09
  5. Step 5: Solve for x
    x = 2,924,662.09/1,634.04
  6. Step 6: Final answer
    x = 1,789.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.