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Finding the Fourth Proportional to 1,619.58, 2,429.16 and 449.66

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Solution

The fourth proportional to 1,619.58, 2,429.16 and 449.66 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.58 : 2,429.16 = 449.66 : x
  2. Step 2: Convert to fraction form
    1,619.58/2,429.16 = 449.66/x
  3. Step 3: Cross multiply
    1,619.58x = 2,429.16 × 449.66
  4. Step 4: Simplify right side
    1,619.58x = 1,092,296.09
  5. Step 5: Solve for x
    x = 1,092,296.09/1,619.58
  6. Step 6: Final answer
    x = 674.43

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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.