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Finding the Fourth Proportional to 2,361.42, 3,256.81 and 2,096.05

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Solution

The fourth proportional to 2,361.42, 3,256.81 and 2,096.05 is: 2,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.42 : 3,256.81 = 2,096.05 : x
  2. Step 2: Convert to fraction form
    2,361.42/3,256.81 = 2,096.05/x
  3. Step 3: Cross multiply
    2,361.42x = 3,256.81 × 2,096.05
  4. Step 4: Simplify right side
    2,361.42x = 6,826,436.60
  5. Step 5: Solve for x
    x = 6,826,436.60/2,361.42
  6. Step 6: Final answer
    x = 2,890.82

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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.