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Finding the Fourth Proportional to 4,299.65, 6,449.81 and 1,834.49

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Solution

The fourth proportional to 4,299.65, 6,449.81 and 1,834.49 is: 2,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.65 : 6,449.81 = 1,834.49 : x
  2. Step 2: Convert to fraction form
    4,299.65/6,449.81 = 1,834.49/x
  3. Step 3: Cross multiply
    4,299.65x = 6,449.81 × 1,834.49
  4. Step 4: Simplify right side
    4,299.65x = 11,832,111.95
  5. Step 5: Solve for x
    x = 11,832,111.95/4,299.65
  6. Step 6: Final answer
    x = 2,751.88

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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.