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Finding the Fourth Proportional to 3,121.78, 4,683.33 and 1,174

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Solution

The fourth proportional to 3,121.78, 4,683.33 and 1,174 is: 1,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.78 : 4,683.33 = 1,174 : x
  2. Step 2: Convert to fraction form
    3,121.78/4,683.33 = 1,174/x
  3. Step 3: Cross multiply
    3,121.78x = 4,683.33 × 1,174
  4. Step 4: Simplify right side
    3,121.78x = 5,498,229.42
  5. Step 5: Solve for x
    x = 5,498,229.42/3,121.78
  6. Step 6: Final answer
    x = 1,761.25

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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.