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Finding the Fourth Proportional to 2,096.33, 3,146.80 and 1,771.29

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Solution

The fourth proportional to 2,096.33, 3,146.80 and 1,771.29 is: 2,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.33 : 3,146.80 = 1,771.29 : x
  2. Step 2: Convert to fraction form
    2,096.33/3,146.80 = 1,771.29/x
  3. Step 3: Cross multiply
    2,096.33x = 3,146.80 × 1,771.29
  4. Step 4: Simplify right side
    2,096.33x = 5,573,895.37
  5. Step 5: Solve for x
    x = 5,573,895.37/2,096.33
  6. Step 6: Final answer
    x = 2,658.88

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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.