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Finding the Fourth Proportional to 2,085.69, 2,861.28 and 2,031.21

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Solution

The fourth proportional to 2,085.69, 2,861.28 and 2,031.21 is: 2,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.69 : 2,861.28 = 2,031.21 : x
  2. Step 2: Convert to fraction form
    2,085.69/2,861.28 = 2,031.21/x
  3. Step 3: Cross multiply
    2,085.69x = 2,861.28 × 2,031.21
  4. Step 4: Simplify right side
    2,085.69x = 5,811,860.55
  5. Step 5: Solve for x
    x = 5,811,860.55/2,085.69
  6. Step 6: Final answer
    x = 2,786.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.