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Finding the Fourth Proportional to 1,711.20, 2,361.77 and 1,082.03

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Solution

The fourth proportional to 1,711.20, 2,361.77 and 1,082.03 is: 1,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.20 : 2,361.77 = 1,082.03 : x
  2. Step 2: Convert to fraction form
    1,711.20/2,361.77 = 1,082.03/x
  3. Step 3: Cross multiply
    1,711.20x = 2,361.77 × 1,082.03
  4. Step 4: Simplify right side
    1,711.20x = 2,555,505.99
  5. Step 5: Solve for x
    x = 2,555,505.99/1,711.20
  6. Step 6: Final answer
    x = 1,493.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.