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Finding the Fourth Proportional to 1,996.53, 2,974.73 and 1,884.75

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Solution

The fourth proportional to 1,996.53, 2,974.73 and 1,884.75 is: 2,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.53 : 2,974.73 = 1,884.75 : x
  2. Step 2: Convert to fraction form
    1,996.53/2,974.73 = 1,884.75/x
  3. Step 3: Cross multiply
    1,996.53x = 2,974.73 × 1,884.75
  4. Step 4: Simplify right side
    1,996.53x = 5,606,612.94
  5. Step 5: Solve for x
    x = 5,606,612.94/1,996.53
  6. Step 6: Final answer
    x = 2,808.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.