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Finding the Fourth Proportional to 2,976.80, 4,107.60 and 2,191.20

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Solution

The fourth proportional to 2,976.80, 4,107.60 and 2,191.20 is: 3,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.80 : 4,107.60 = 2,191.20 : x
  2. Step 2: Convert to fraction form
    2,976.80/4,107.60 = 2,191.20/x
  3. Step 3: Cross multiply
    2,976.80x = 4,107.60 × 2,191.20
  4. Step 4: Simplify right side
    2,976.80x = 9,000,573.12
  5. Step 5: Solve for x
    x = 9,000,573.12/2,976.80
  6. Step 6: Final answer
    x = 3,023.57

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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.