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Finding the Fourth Proportional to 2,747.89, 4,121.38 and 992.55

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Solution

The fourth proportional to 2,747.89, 4,121.38 and 992.55 is: 1,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.89 : 4,121.38 = 992.55 : x
  2. Step 2: Convert to fraction form
    2,747.89/4,121.38 = 992.55/x
  3. Step 3: Cross multiply
    2,747.89x = 4,121.38 × 992.55
  4. Step 4: Simplify right side
    2,747.89x = 4,090,683.54
  5. Step 5: Solve for x
    x = 4,090,683.54/2,747.89
  6. Step 6: Final answer
    x = 1,488.66

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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.