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Finding the Fourth Proportional to 1,834.80, 2,754.90 and 1,105.80

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Solution

The fourth proportional to 1,834.80, 2,754.90 and 1,105.80 is: 1,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.80 : 2,754.90 = 1,105.80 : x
  2. Step 2: Convert to fraction form
    1,834.80/2,754.90 = 1,105.80/x
  3. Step 3: Cross multiply
    1,834.80x = 2,754.90 × 1,105.80
  4. Step 4: Simplify right side
    1,834.80x = 3,046,368.42
  5. Step 5: Solve for x
    x = 3,046,368.42/1,834.80
  6. Step 6: Final answer
    x = 1,660.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.