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Finding the Fourth Proportional to 2,056.06, 3,083.78 and 757.22

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Solution

The fourth proportional to 2,056.06, 3,083.78 and 757.22 is: 1,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.06 : 3,083.78 = 757.22 : x
  2. Step 2: Convert to fraction form
    2,056.06/3,083.78 = 757.22/x
  3. Step 3: Cross multiply
    2,056.06x = 3,083.78 × 757.22
  4. Step 4: Simplify right side
    2,056.06x = 2,335,099.89
  5. Step 5: Solve for x
    x = 2,335,099.89/2,056.06
  6. Step 6: Final answer
    x = 1,135.72

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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.