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Finding the Fourth Proportional to 3,081.53, 4,256.16 and 2,085.08

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Solution

The fourth proportional to 3,081.53, 4,256.16 and 2,085.08 is: 2,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.53 : 4,256.16 = 2,085.08 : x
  2. Step 2: Convert to fraction form
    3,081.53/4,256.16 = 2,085.08/x
  3. Step 3: Cross multiply
    3,081.53x = 4,256.16 × 2,085.08
  4. Step 4: Simplify right side
    3,081.53x = 8,874,434.09
  5. Step 5: Solve for x
    x = 8,874,434.09/3,081.53
  6. Step 6: Final answer
    x = 2,879.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.