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Finding the Fourth Proportional to 2,396.44, 3,591.31 and 1,810.96

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Solution

The fourth proportional to 2,396.44, 3,591.31 and 1,810.96 is: 2,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.44 : 3,591.31 = 1,810.96 : x
  2. Step 2: Convert to fraction form
    2,396.44/3,591.31 = 1,810.96/x
  3. Step 3: Cross multiply
    2,396.44x = 3,591.31 × 1,810.96
  4. Step 4: Simplify right side
    2,396.44x = 6,503,713.74
  5. Step 5: Solve for x
    x = 6,503,713.74/2,396.44
  6. Step 6: Final answer
    x = 2,713.91

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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.