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Finding the Fourth Proportional to 3,181.68, 4,772.70 and 1,233.72

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Solution

The fourth proportional to 3,181.68, 4,772.70 and 1,233.72 is: 1,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.68 : 4,772.70 = 1,233.72 : x
  2. Step 2: Convert to fraction form
    3,181.68/4,772.70 = 1,233.72/x
  3. Step 3: Cross multiply
    3,181.68x = 4,772.70 × 1,233.72
  4. Step 4: Simplify right side
    3,181.68x = 5,888,175.44
  5. Step 5: Solve for x
    x = 5,888,175.44/3,181.68
  6. Step 6: Final answer
    x = 1,850.65

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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.