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Finding the Fourth Proportional to 1,969.14, 2,717.31 and 1,812.42

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Solution

The fourth proportional to 1,969.14, 2,717.31 and 1,812.42 is: 2,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.14 : 2,717.31 = 1,812.42 : x
  2. Step 2: Convert to fraction form
    1,969.14/2,717.31 = 1,812.42/x
  3. Step 3: Cross multiply
    1,969.14x = 2,717.31 × 1,812.42
  4. Step 4: Simplify right side
    1,969.14x = 4,924,906.99
  5. Step 5: Solve for x
    x = 4,924,906.99/1,969.14
  6. Step 6: Final answer
    x = 2,501.04

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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.