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Finding the Fourth Proportional to 3,007.09, 4,149.84 and 1,680.94

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Solution

The fourth proportional to 3,007.09, 4,149.84 and 1,680.94 is: 2,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.09 : 4,149.84 = 1,680.94 : x
  2. Step 2: Convert to fraction form
    3,007.09/4,149.84 = 1,680.94/x
  3. Step 3: Cross multiply
    3,007.09x = 4,149.84 × 1,680.94
  4. Step 4: Simplify right side
    3,007.09x = 6,975,632.05
  5. Step 5: Solve for x
    x = 6,975,632.05/3,007.09
  6. Step 6: Final answer
    x = 2,319.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.