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Finding the Fourth Proportional to 1,981.98, 2,734.43 and 1,235.33

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Solution

The fourth proportional to 1,981.98, 2,734.43 and 1,235.33 is: 1,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.98 : 2,734.43 = 1,235.33 : x
  2. Step 2: Convert to fraction form
    1,981.98/2,734.43 = 1,235.33/x
  3. Step 3: Cross multiply
    1,981.98x = 2,734.43 × 1,235.33
  4. Step 4: Simplify right side
    1,981.98x = 3,377,923.41
  5. Step 5: Solve for x
    x = 3,377,923.41/1,981.98
  6. Step 6: Final answer
    x = 1,704.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.