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Finding the Fourth Proportional to 4,299.30, 6,449.62 and 1,834.13

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Solution

The fourth proportional to 4,299.30, 6,449.62 and 1,834.13 is: 2,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.30 : 6,449.62 = 1,834.13 : x
  2. Step 2: Convert to fraction form
    4,299.30/6,449.62 = 1,834.13/x
  3. Step 3: Cross multiply
    4,299.30x = 6,449.62 × 1,834.13
  4. Step 4: Simplify right side
    4,299.30x = 11,829,404.70
  5. Step 5: Solve for x
    x = 11,829,404.70/4,299.30
  6. Step 6: Final answer
    x = 2,751.47

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