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Finding the Fourth Proportional to 3,181.80, 4,772.19 and 1,537.92

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Solution

The fourth proportional to 3,181.80, 4,772.19 and 1,537.92 is: 2,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.80 : 4,772.19 = 1,537.92 : x
  2. Step 2: Convert to fraction form
    3,181.80/4,772.19 = 1,537.92/x
  3. Step 3: Cross multiply
    3,181.80x = 4,772.19 × 1,537.92
  4. Step 4: Simplify right side
    3,181.80x = 7,339,246.44
  5. Step 5: Solve for x
    x = 7,339,246.44/3,181.80
  6. Step 6: Final answer
    x = 2,306.63

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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.