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Finding the Fourth Proportional to 3,187.98, 4,782.24 and 1,627.38

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Solution

The fourth proportional to 3,187.98, 4,782.24 and 1,627.38 is: 2,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.98 : 4,782.24 = 1,627.38 : x
  2. Step 2: Convert to fraction form
    3,187.98/4,782.24 = 1,627.38/x
  3. Step 3: Cross multiply
    3,187.98x = 4,782.24 × 1,627.38
  4. Step 4: Simplify right side
    3,187.98x = 7,782,521.73
  5. Step 5: Solve for x
    x = 7,782,521.73/3,187.98
  6. Step 6: Final answer
    x = 2,441.21

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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.