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Finding the Fourth Proportional to 2,008.45, 2,768.83 and 1,377.98

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Solution

The fourth proportional to 2,008.45, 2,768.83 and 1,377.98 is: 1,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.45 : 2,768.83 = 1,377.98 : x
  2. Step 2: Convert to fraction form
    2,008.45/2,768.83 = 1,377.98/x
  3. Step 3: Cross multiply
    2,008.45x = 2,768.83 × 1,377.98
  4. Step 4: Simplify right side
    2,008.45x = 3,815,399.05
  5. Step 5: Solve for x
    x = 3,815,399.05/2,008.45
  6. Step 6: Final answer
    x = 1,899.67

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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.