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Finding the Fourth Proportional to 3,431.69, 5,146.80 and 1,239.20

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Solution

The fourth proportional to 3,431.69, 5,146.80 and 1,239.20 is: 1,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.69 : 5,146.80 = 1,239.20 : x
  2. Step 2: Convert to fraction form
    3,431.69/5,146.80 = 1,239.20/x
  3. Step 3: Cross multiply
    3,431.69x = 5,146.80 × 1,239.20
  4. Step 4: Simplify right side
    3,431.69x = 6,377,922.78
  5. Step 5: Solve for x
    x = 6,377,922.78/3,431.69
  6. Step 6: Final answer
    x = 1,858.54

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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.