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Finding the Fourth Proportional to 2,096.21, 2,892.90 and 1,164.71

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Solution

The fourth proportional to 2,096.21, 2,892.90 and 1,164.71 is: 1,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.21 : 2,892.90 = 1,164.71 : x
  2. Step 2: Convert to fraction form
    2,096.21/2,892.90 = 1,164.71/x
  3. Step 3: Cross multiply
    2,096.21x = 2,892.90 × 1,164.71
  4. Step 4: Simplify right side
    2,096.21x = 3,369,375.09
  5. Step 5: Solve for x
    x = 3,369,375.09/2,096.21
  6. Step 6: Final answer
    x = 1,607.37

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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.