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Finding the Fourth Proportional to 2,085.56, 3,128.33 and 852.69

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Solution

The fourth proportional to 2,085.56, 3,128.33 and 852.69 is: 1,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.56 : 3,128.33 = 852.69 : x
  2. Step 2: Convert to fraction form
    2,085.56/3,128.33 = 852.69/x
  3. Step 3: Cross multiply
    2,085.56x = 3,128.33 × 852.69
  4. Step 4: Simplify right side
    2,085.56x = 2,667,491.44
  5. Step 5: Solve for x
    x = 2,667,491.44/2,085.56
  6. Step 6: Final answer
    x = 1,279.03

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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.