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Finding the Fourth Proportional to 3,100.98, 4,651.78 and 1,152.73

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Solution

The fourth proportional to 3,100.98, 4,651.78 and 1,152.73 is: 1,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.98 : 4,651.78 = 1,152.73 : x
  2. Step 2: Convert to fraction form
    3,100.98/4,651.78 = 1,152.73/x
  3. Step 3: Cross multiply
    3,100.98x = 4,651.78 × 1,152.73
  4. Step 4: Simplify right side
    3,100.98x = 5,362,251.45
  5. Step 5: Solve for x
    x = 5,362,251.45/3,100.98
  6. Step 6: Final answer
    x = 1,729.21

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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.