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Finding the Fourth Proportional to 2,779.31, 4,169.80 and 1,609.04

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Solution

The fourth proportional to 2,779.31, 4,169.80 and 1,609.04 is: 2,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.31 : 4,169.80 = 1,609.04 : x
  2. Step 2: Convert to fraction form
    2,779.31/4,169.80 = 1,609.04/x
  3. Step 3: Cross multiply
    2,779.31x = 4,169.80 × 1,609.04
  4. Step 4: Simplify right side
    2,779.31x = 6,709,387.43
  5. Step 5: Solve for x
    x = 6,709,387.43/2,779.31
  6. Step 6: Final answer
    x = 2,414.05

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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.