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Finding the Fourth Proportional to 2,729.44, 4,092 and 2,017.36

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Solution

The fourth proportional to 2,729.44, 4,092 and 2,017.36 is: 3,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.44 : 4,092 = 2,017.36 : x
  2. Step 2: Convert to fraction form
    2,729.44/4,092 = 2,017.36/x
  3. Step 3: Cross multiply
    2,729.44x = 4,092 × 2,017.36
  4. Step 4: Simplify right side
    2,729.44x = 8,255,037.12
  5. Step 5: Solve for x
    x = 8,255,037.12/2,729.44
  6. Step 6: Final answer
    x = 3,024.44

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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.