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Finding the Fourth Proportional to 3,006.81, 4,149.60 and 1,680.75

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Solution

The fourth proportional to 3,006.81, 4,149.60 and 1,680.75 is: 2,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.81 : 4,149.60 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    3,006.81/4,149.60 = 1,680.75/x
  3. Step 3: Cross multiply
    3,006.81x = 4,149.60 × 1,680.75
  4. Step 4: Simplify right side
    3,006.81x = 6,974,440.20
  5. Step 5: Solve for x
    x = 6,974,440.20/3,006.81
  6. Step 6: Final answer
    x = 2,319.55

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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.