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Finding the Fourth Proportional to 2,976.26, 4,464.36 and 896.31

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Solution

The fourth proportional to 2,976.26, 4,464.36 and 896.31 is: 1,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.26 : 4,464.36 = 896.31 : x
  2. Step 2: Convert to fraction form
    2,976.26/4,464.36 = 896.31/x
  3. Step 3: Cross multiply
    2,976.26x = 4,464.36 × 896.31
  4. Step 4: Simplify right side
    2,976.26x = 4,001,450.51
  5. Step 5: Solve for x
    x = 4,001,450.51/2,976.26
  6. Step 6: Final answer
    x = 1,344.46

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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.