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Finding the Fourth Proportional to 2,672.24, 4,006.92 and 1,027.28

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Solution

The fourth proportional to 2,672.24, 4,006.92 and 1,027.28 is: 1,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.24 : 4,006.92 = 1,027.28 : x
  2. Step 2: Convert to fraction form
    2,672.24/4,006.92 = 1,027.28/x
  3. Step 3: Cross multiply
    2,672.24x = 4,006.92 × 1,027.28
  4. Step 4: Simplify right side
    2,672.24x = 4,116,228.78
  5. Step 5: Solve for x
    x = 4,116,228.78/2,672.24
  6. Step 6: Final answer
    x = 1,540.37

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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.