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Finding the Fourth Proportional to 2,055.07, 3,083.82 and 757.45

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Solution

The fourth proportional to 2,055.07, 3,083.82 and 757.45 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.07 : 3,083.82 = 757.45 : x
  2. Step 2: Convert to fraction form
    2,055.07/3,083.82 = 757.45/x
  3. Step 3: Cross multiply
    2,055.07x = 3,083.82 × 757.45
  4. Step 4: Simplify right side
    2,055.07x = 2,335,844.73
  5. Step 5: Solve for x
    x = 2,335,844.73/2,055.07
  6. Step 6: Final answer
    x = 1,136.62

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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.