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Finding the Fourth Proportional to 2,976.49, 4,464.78 and 896.59

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Solution

The fourth proportional to 2,976.49, 4,464.78 and 896.59 is: 1,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.49 : 4,464.78 = 896.59 : x
  2. Step 2: Convert to fraction form
    2,976.49/4,464.78 = 896.59/x
  3. Step 3: Cross multiply
    2,976.49x = 4,464.78 × 896.59
  4. Step 4: Simplify right side
    2,976.49x = 4,003,077.10
  5. Step 5: Solve for x
    x = 4,003,077.10/2,976.49
  6. Step 6: Final answer
    x = 1,344.90

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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.