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Finding the Fourth Proportional to 1,982.27, 2,737.09 and 1,591.04

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Solution

The fourth proportional to 1,982.27, 2,737.09 and 1,591.04 is: 2,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.27 : 2,737.09 = 1,591.04 : x
  2. Step 2: Convert to fraction form
    1,982.27/2,737.09 = 1,591.04/x
  3. Step 3: Cross multiply
    1,982.27x = 2,737.09 × 1,591.04
  4. Step 4: Simplify right side
    1,982.27x = 4,354,828.51
  5. Step 5: Solve for x
    x = 4,354,828.51/1,982.27
  6. Step 6: Final answer
    x = 2,196.89

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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.