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Finding the Fourth Proportional to 2,085.13, 3,128.97 and 852.54

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Solution

The fourth proportional to 2,085.13, 3,128.97 and 852.54 is: 1,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.13 : 3,128.97 = 852.54 : x
  2. Step 2: Convert to fraction form
    2,085.13/3,128.97 = 852.54/x
  3. Step 3: Cross multiply
    2,085.13x = 3,128.97 × 852.54
  4. Step 4: Simplify right side
    2,085.13x = 2,667,587.01
  5. Step 5: Solve for x
    x = 2,667,587.01/2,085.13
  6. Step 6: Final answer
    x = 1,279.34

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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.