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Finding the Fourth Proportional to 2,770.94, 3,818.94 and 2,023.76

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Solution

The fourth proportional to 2,770.94, 3,818.94 and 2,023.76 is: 2,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.94 : 3,818.94 = 2,023.76 : x
  2. Step 2: Convert to fraction form
    2,770.94/3,818.94 = 2,023.76/x
  3. Step 3: Cross multiply
    2,770.94x = 3,818.94 × 2,023.76
  4. Step 4: Simplify right side
    2,770.94x = 7,728,618.01
  5. Step 5: Solve for x
    x = 7,728,618.01/2,770.94
  6. Step 6: Final answer
    x = 2,789.17

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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.