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Finding the Fourth Proportional to 2,836.80, 4,255.68 and 1,680

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Solution

The fourth proportional to 2,836.80, 4,255.68 and 1,680 is: 2,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.80 : 4,255.68 = 1,680 : x
  2. Step 2: Convert to fraction form
    2,836.80/4,255.68 = 1,680/x
  3. Step 3: Cross multiply
    2,836.80x = 4,255.68 × 1,680
  4. Step 4: Simplify right side
    2,836.80x = 7,149,542.40
  5. Step 5: Solve for x
    x = 7,149,542.40/2,836.80
  6. Step 6: Final answer
    x = 2,520.28

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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.