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Finding the Fourth Proportional to 1,969.72, 2,715.78 and 1,380.04

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Solution

The fourth proportional to 1,969.72, 2,715.78 and 1,380.04 is: 1,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.72 : 2,715.78 = 1,380.04 : x
  2. Step 2: Convert to fraction form
    1,969.72/2,715.78 = 1,380.04/x
  3. Step 3: Cross multiply
    1,969.72x = 2,715.78 × 1,380.04
  4. Step 4: Simplify right side
    1,969.72x = 3,747,885.03
  5. Step 5: Solve for x
    x = 3,747,885.03/1,969.72
  6. Step 6: Final answer
    x = 1,902.75

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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.