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Finding the Fourth Proportional to 3,174.70, 4,759.32 and 1,228.26

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Solution

The fourth proportional to 3,174.70, 4,759.32 and 1,228.26 is: 1,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.70 : 4,759.32 = 1,228.26 : x
  2. Step 2: Convert to fraction form
    3,174.70/4,759.32 = 1,228.26/x
  3. Step 3: Cross multiply
    3,174.70x = 4,759.32 × 1,228.26
  4. Step 4: Simplify right side
    3,174.70x = 5,845,682.38
  5. Step 5: Solve for x
    x = 5,845,682.38/3,174.70
  6. Step 6: Final answer
    x = 1,841.33

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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.