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Finding the Fourth Proportional to 1,616.29, 2,229.82 and 1,173.22

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Solution

The fourth proportional to 1,616.29, 2,229.82 and 1,173.22 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.29 : 2,229.82 = 1,173.22 : x
  2. Step 2: Convert to fraction form
    1,616.29/2,229.82 = 1,173.22/x
  3. Step 3: Cross multiply
    1,616.29x = 2,229.82 × 1,173.22
  4. Step 4: Simplify right side
    1,616.29x = 2,616,060.91
  5. Step 5: Solve for x
    x = 2,616,060.91/1,616.29
  6. Step 6: Final answer
    x = 1,618.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.