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Finding the Fourth Proportional to 3,147.80, 4,725.12 and 1,832.99

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Solution

The fourth proportional to 3,147.80, 4,725.12 and 1,832.99 is: 2,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.80 : 4,725.12 = 1,832.99 : x
  2. Step 2: Convert to fraction form
    3,147.80/4,725.12 = 1,832.99/x
  3. Step 3: Cross multiply
    3,147.80x = 4,725.12 × 1,832.99
  4. Step 4: Simplify right side
    3,147.80x = 8,661,074.08
  5. Step 5: Solve for x
    x = 8,661,074.08/3,147.80
  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.