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Finding the Fourth Proportional to 1,601.91, 2,403.17 and 506.44

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Solution

The fourth proportional to 1,601.91, 2,403.17 and 506.44 is: 759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.91 : 2,403.17 = 506.44 : x
  2. Step 2: Convert to fraction form
    1,601.91/2,403.17 = 506.44/x
  3. Step 3: Cross multiply
    1,601.91x = 2,403.17 × 506.44
  4. Step 4: Simplify right side
    1,601.91x = 1,217,055.41
  5. Step 5: Solve for x
    x = 1,217,055.41/1,601.91
  6. Step 6: Final answer
    x = 759.75

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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.