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Finding the Fourth Proportional to 2,116.43, 3,173.71 and 729.39

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Solution

The fourth proportional to 2,116.43, 3,173.71 and 729.39 is: 1,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.43 : 3,173.71 = 729.39 : x
  2. Step 2: Convert to fraction form
    2,116.43/3,173.71 = 729.39/x
  3. Step 3: Cross multiply
    2,116.43x = 3,173.71 × 729.39
  4. Step 4: Simplify right side
    2,116.43x = 2,314,872.34
  5. Step 5: Solve for x
    x = 2,314,872.34/2,116.43
  6. Step 6: Final answer
    x = 1,093.76

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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.