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Finding the Fourth Proportional to 3,175.96, 4,765.74 and 1,228.30

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Solution

The fourth proportional to 3,175.96, 4,765.74 and 1,228.30 is: 1,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.96 : 4,765.74 = 1,228.30 : x
  2. Step 2: Convert to fraction form
    3,175.96/4,765.74 = 1,228.30/x
  3. Step 3: Cross multiply
    3,175.96x = 4,765.74 × 1,228.30
  4. Step 4: Simplify right side
    3,175.96x = 5,853,758.44
  5. Step 5: Solve for x
    x = 5,853,758.44/3,175.96
  6. Step 6: Final answer
    x = 1,843.15

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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.