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Finding the Fourth Proportional to 2,591.70, 3,883.23 and 1,820.82

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Solution

The fourth proportional to 2,591.70, 3,883.23 and 1,820.82 is: 2,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.70 : 3,883.23 = 1,820.82 : x
  2. Step 2: Convert to fraction form
    2,591.70/3,883.23 = 1,820.82/x
  3. Step 3: Cross multiply
    2,591.70x = 3,883.23 × 1,820.82
  4. Step 4: Simplify right side
    2,591.70x = 7,070,662.85
  5. Step 5: Solve for x
    x = 7,070,662.85/2,591.70
  6. Step 6: Final answer
    x = 2,728.19

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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.