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Finding the Fourth Proportional to 3,007.14, 4,149.84 and 1,680.85

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Solution

The fourth proportional to 3,007.14, 4,149.84 and 1,680.85 is: 2,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.14 : 4,149.84 = 1,680.85 : x
  2. Step 2: Convert to fraction form
    3,007.14/4,149.84 = 1,680.85/x
  3. Step 3: Cross multiply
    3,007.14x = 4,149.84 × 1,680.85
  4. Step 4: Simplify right side
    3,007.14x = 6,975,237.81
  5. Step 5: Solve for x
    x = 6,975,237.81/3,007.14
  6. Step 6: Final answer
    x = 2,319.56

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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.