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Finding the Fourth Proportional to 1,834.14, 2,751.21 and 1,467.21

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Solution

The fourth proportional to 1,834.14, 2,751.21 and 1,467.21 is: 2,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.14 : 2,751.21 = 1,467.21 : x
  2. Step 2: Convert to fraction form
    1,834.14/2,751.21 = 1,467.21/x
  3. Step 3: Cross multiply
    1,834.14x = 2,751.21 × 1,467.21
  4. Step 4: Simplify right side
    1,834.14x = 4,036,602.82
  5. Step 5: Solve for x
    x = 4,036,602.82/1,834.14
  6. Step 6: Final answer
    x = 2,200.82

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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.