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Finding the Fourth Proportional to 1,618.21, 2,426.84 and 447.91

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Solution

The fourth proportional to 1,618.21, 2,426.84 and 447.91 is: 671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.21 : 2,426.84 = 447.91 : x
  2. Step 2: Convert to fraction form
    1,618.21/2,426.84 = 447.91/x
  3. Step 3: Cross multiply
    1,618.21x = 2,426.84 × 447.91
  4. Step 4: Simplify right side
    1,618.21x = 1,086,991.53
  5. Step 5: Solve for x
    x = 1,086,991.53/1,618.21
  6. Step 6: Final answer
    x = 671.73

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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.