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Finding the Fourth Proportional to 2,779.20, 4,171.68 and 2,079

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Solution

The fourth proportional to 2,779.20, 4,171.68 and 2,079 is: 3,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.20 : 4,171.68 = 2,079 : x
  2. Step 2: Convert to fraction form
    2,779.20/4,171.68 = 2,079/x
  3. Step 3: Cross multiply
    2,779.20x = 4,171.68 × 2,079
  4. Step 4: Simplify right side
    2,779.20x = 8,672,922.72
  5. Step 5: Solve for x
    x = 8,672,922.72/2,779.20
  6. Step 6: Final answer
    x = 3,120.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.