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Finding the Fourth Proportional to 1,634.08, 2,449.26 and 659.04

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Solution

The fourth proportional to 1,634.08, 2,449.26 and 659.04 is: 987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.08 : 2,449.26 = 659.04 : x
  2. Step 2: Convert to fraction form
    1,634.08/2,449.26 = 659.04/x
  3. Step 3: Cross multiply
    1,634.08x = 2,449.26 × 659.04
  4. Step 4: Simplify right side
    1,634.08x = 1,614,160.31
  5. Step 5: Solve for x
    x = 1,614,160.31/1,634.08
  6. Step 6: Final answer
    x = 987.81

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