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Finding the Fourth Proportional to 2,677.31, 4,016.02 and 729.57

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Solution

The fourth proportional to 2,677.31, 4,016.02 and 729.57 is: 1,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.31 : 4,016.02 = 729.57 : x
  2. Step 2: Convert to fraction form
    2,677.31/4,016.02 = 729.57/x
  3. Step 3: Cross multiply
    2,677.31x = 4,016.02 × 729.57
  4. Step 4: Simplify right side
    2,677.31x = 2,929,953.56
  5. Step 5: Solve for x
    x = 2,929,953.56/2,677.31
  6. Step 6: Final answer
    x = 1,094.36

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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.