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Finding the Fourth Proportional to 6,161.72, 9,241.50 and 1,779.80

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Solution

The fourth proportional to 6,161.72, 9,241.50 and 1,779.80 is: 2,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.72 : 9,241.50 = 1,779.80 : x
  2. Step 2: Convert to fraction form
    6,161.72/9,241.50 = 1,779.80/x
  3. Step 3: Cross multiply
    6,161.72x = 9,241.50 × 1,779.80
  4. Step 4: Simplify right side
    6,161.72x = 16,448,021.70
  5. Step 5: Solve for x
    x = 16,448,021.70/6,161.72
  6. Step 6: Final answer
    x = 2,669.39

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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.