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Finding the Fourth Proportional to 2,085.89, 3,122.89 and 1,591.72

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Solution

The fourth proportional to 2,085.89, 3,122.89 and 1,591.72 is: 2,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.89 : 3,122.89 = 1,591.72 : x
  2. Step 2: Convert to fraction form
    2,085.89/3,122.89 = 1,591.72/x
  3. Step 3: Cross multiply
    2,085.89x = 3,122.89 × 1,591.72
  4. Step 4: Simplify right side
    2,085.89x = 4,970,754.68
  5. Step 5: Solve for x
    x = 4,970,754.68/2,085.89
  6. Step 6: Final answer
    x = 2,383.04

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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.