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Finding the Fourth Proportional to 2,677.43, 4,016.07 and 729.63

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Solution

The fourth proportional to 2,677.43, 4,016.07 and 729.63 is: 1,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.43 : 4,016.07 = 729.63 : x
  2. Step 2: Convert to fraction form
    2,677.43/4,016.07 = 729.63/x
  3. Step 3: Cross multiply
    2,677.43x = 4,016.07 × 729.63
  4. Step 4: Simplify right side
    2,677.43x = 2,930,245.15
  5. Step 5: Solve for x
    x = 2,930,245.15/2,677.43
  6. Step 6: Final answer
    x = 1,094.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.