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Finding the Fourth Proportional to 1,825.45, 2,738.90 and 900.98

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Solution

The fourth proportional to 1,825.45, 2,738.90 and 900.98 is: 1,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.45 : 2,738.90 = 900.98 : x
  2. Step 2: Convert to fraction form
    1,825.45/2,738.90 = 900.98/x
  3. Step 3: Cross multiply
    1,825.45x = 2,738.90 × 900.98
  4. Step 4: Simplify right side
    1,825.45x = 2,467,694.12
  5. Step 5: Solve for x
    x = 2,467,694.12/1,825.45
  6. Step 6: Final answer
    x = 1,351.83

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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.