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Finding the Fourth Proportional to 2,596.05, 3,892.73 and 2,101.14

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Solution

The fourth proportional to 2,596.05, 3,892.73 and 2,101.14 is: 3,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.05 : 3,892.73 = 2,101.14 : x
  2. Step 2: Convert to fraction form
    2,596.05/3,892.73 = 2,101.14/x
  3. Step 3: Cross multiply
    2,596.05x = 3,892.73 × 2,101.14
  4. Step 4: Simplify right side
    2,596.05x = 8,179,160.21
  5. Step 5: Solve for x
    x = 8,179,160.21/2,596.05
  6. Step 6: Final answer
    x = 3,150.62

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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.