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Finding the Fourth Proportional to 2,135.76, 3,205.44 and 2,119.56

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Solution

The fourth proportional to 2,135.76, 3,205.44 and 2,119.56 is: 3,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.76 : 3,205.44 = 2,119.56 : x
  2. Step 2: Convert to fraction form
    2,135.76/3,205.44 = 2,119.56/x
  3. Step 3: Cross multiply
    2,135.76x = 3,205.44 × 2,119.56
  4. Step 4: Simplify right side
    2,135.76x = 6,794,122.41
  5. Step 5: Solve for x
    x = 6,794,122.41/2,135.76
  6. Step 6: Final answer
    x = 3,181.13

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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.