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Finding the Fourth Proportional to 2,780.51, 3,836.21 and 1,983.97

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Solution

The fourth proportional to 2,780.51, 3,836.21 and 1,983.97 is: 2,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.51 : 3,836.21 = 1,983.97 : x
  2. Step 2: Convert to fraction form
    2,780.51/3,836.21 = 1,983.97/x
  3. Step 3: Cross multiply
    2,780.51x = 3,836.21 × 1,983.97
  4. Step 4: Simplify right side
    2,780.51x = 7,610,896.45
  5. Step 5: Solve for x
    x = 7,610,896.45/2,780.51
  6. Step 6: Final answer
    x = 2,737.23

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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.