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Finding the Fourth Proportional to 2,779.68, 3,832.82 and 2,273.94

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Solution

The fourth proportional to 2,779.68, 3,832.82 and 2,273.94 is: 3,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.68 : 3,832.82 = 2,273.94 : x
  2. Step 2: Convert to fraction form
    2,779.68/3,832.82 = 2,273.94/x
  3. Step 3: Cross multiply
    2,779.68x = 3,832.82 × 2,273.94
  4. Step 4: Simplify right side
    2,779.68x = 8,715,599.87
  5. Step 5: Solve for x
    x = 8,715,599.87/2,779.68
  6. Step 6: Final answer
    x = 3,135.46

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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.