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Finding the Fourth Proportional to 1,982.84, 2,730.77 and 1,939.79

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Solution

The fourth proportional to 1,982.84, 2,730.77 and 1,939.79 is: 2,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.84 : 2,730.77 = 1,939.79 : x
  2. Step 2: Convert to fraction form
    1,982.84/2,730.77 = 1,939.79/x
  3. Step 3: Cross multiply
    1,982.84x = 2,730.77 × 1,939.79
  4. Step 4: Simplify right side
    1,982.84x = 5,297,130.20
  5. Step 5: Solve for x
    x = 5,297,130.20/1,982.84
  6. Step 6: Final answer
    x = 2,671.49

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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.