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Finding the Fourth Proportional to 2,690.33, 3,711.61 and 1,983.85

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Solution

The fourth proportional to 2,690.33, 3,711.61 and 1,983.85 is: 2,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.33 : 3,711.61 = 1,983.85 : x
  2. Step 2: Convert to fraction form
    2,690.33/3,711.61 = 1,983.85/x
  3. Step 3: Cross multiply
    2,690.33x = 3,711.61 × 1,983.85
  4. Step 4: Simplify right side
    2,690.33x = 7,363,249.02
  5. Step 5: Solve for x
    x = 7,363,249.02/2,690.33
  6. Step 6: Final answer
    x = 2,736.94

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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.