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Finding the Fourth Proportional to 2,085.09, 3,127.23 and 786.12

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Solution

The fourth proportional to 2,085.09, 3,127.23 and 786.12 is: 1,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.09 : 3,127.23 = 786.12 : x
  2. Step 2: Convert to fraction form
    2,085.09/3,127.23 = 786.12/x
  3. Step 3: Cross multiply
    2,085.09x = 3,127.23 × 786.12
  4. Step 4: Simplify right side
    2,085.09x = 2,458,378.05
  5. Step 5: Solve for x
    x = 2,458,378.05/2,085.09
  6. Step 6: Final answer
    x = 1,179.03

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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.