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Finding the Fourth Proportional to 2,767.42, 3,811.22 and 2,435.73

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Solution

The fourth proportional to 2,767.42, 3,811.22 and 2,435.73 is: 3,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.42 : 3,811.22 = 2,435.73 : x
  2. Step 2: Convert to fraction form
    2,767.42/3,811.22 = 2,435.73/x
  3. Step 3: Cross multiply
    2,767.42x = 3,811.22 × 2,435.73
  4. Step 4: Simplify right side
    2,767.42x = 9,283,071.66
  5. Step 5: Solve for x
    x = 9,283,071.66/2,767.42
  6. Step 6: Final answer
    x = 3,354.41

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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.