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Finding the Fourth Proportional to 1,834.75, 2,748 and 1,102.78

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Solution

The fourth proportional to 1,834.75, 2,748 and 1,102.78 is: 1,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.75 : 2,748 = 1,102.78 : x
  2. Step 2: Convert to fraction form
    1,834.75/2,748 = 1,102.78/x
  3. Step 3: Cross multiply
    1,834.75x = 2,748 × 1,102.78
  4. Step 4: Simplify right side
    1,834.75x = 3,030,439.44
  5. Step 5: Solve for x
    x = 3,030,439.44/1,834.75
  6. Step 6: Final answer
    x = 1,651.69

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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.