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Finding the Fourth Proportional to 2,096.29, 2,892.95 and 1,571.41

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Solution

The fourth proportional to 2,096.29, 2,892.95 and 1,571.41 is: 2,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.29 : 2,892.95 = 1,571.41 : x
  2. Step 2: Convert to fraction form
    2,096.29/2,892.95 = 1,571.41/x
  3. Step 3: Cross multiply
    2,096.29x = 2,892.95 × 1,571.41
  4. Step 4: Simplify right side
    2,096.29x = 4,546,010.56
  5. Step 5: Solve for x
    x = 4,546,010.56/2,096.29
  6. Step 6: Final answer
    x = 2,168.60

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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.