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Finding the Fourth Proportional to 2,976.20, 4,464.30 and 896.12

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Solution

The fourth proportional to 2,976.20, 4,464.30 and 896.12 is: 1,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.20 : 4,464.30 = 896.12 : x
  2. Step 2: Convert to fraction form
    2,976.20/4,464.30 = 896.12/x
  3. Step 3: Cross multiply
    2,976.20x = 4,464.30 × 896.12
  4. Step 4: Simplify right side
    2,976.20x = 4,000,548.52
  5. Step 5: Solve for x
    x = 4,000,548.52/2,976.20
  6. Step 6: Final answer
    x = 1,344.18

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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.