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Finding the Fourth Proportional to 3,481.54, 4,805.13 and 2,085.10

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Solution

The fourth proportional to 3,481.54, 4,805.13 and 2,085.10 is: 2,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.54 : 4,805.13 = 2,085.10 : x
  2. Step 2: Convert to fraction form
    3,481.54/4,805.13 = 2,085.10/x
  3. Step 3: Cross multiply
    3,481.54x = 4,805.13 × 2,085.10
  4. Step 4: Simplify right side
    3,481.54x = 10,019,176.56
  5. Step 5: Solve for x
    x = 10,019,176.56/3,481.54
  6. Step 6: Final answer
    x = 2,877.80

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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.