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Finding the Fourth Proportional to 2,784.26, 4,172.78 and 2,085.42

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Solution

The fourth proportional to 2,784.26, 4,172.78 and 2,085.42 is: 3,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.26 : 4,172.78 = 2,085.42 : x
  2. Step 2: Convert to fraction form
    2,784.26/4,172.78 = 2,085.42/x
  3. Step 3: Cross multiply
    2,784.26x = 4,172.78 × 2,085.42
  4. Step 4: Simplify right side
    2,784.26x = 8,701,998.87
  5. Step 5: Solve for x
    x = 8,701,998.87/2,784.26
  6. Step 6: Final answer
    x = 3,125.43

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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.