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Finding the Fourth Proportional to 1,619.58, 2,429.76 and 796.88

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Solution

The fourth proportional to 1,619.58, 2,429.76 and 796.88 is: 1,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.58 : 2,429.76 = 796.88 : x
  2. Step 2: Convert to fraction form
    1,619.58/2,429.76 = 796.88/x
  3. Step 3: Cross multiply
    1,619.58x = 2,429.76 × 796.88
  4. Step 4: Simplify right side
    1,619.58x = 1,936,227.15
  5. Step 5: Solve for x
    x = 1,936,227.15/1,619.58
  6. Step 6: Final answer
    x = 1,195.51

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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.