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Finding the Fourth Proportional to 2,973.27, 4,458.38 and 998.22

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Solution

The fourth proportional to 2,973.27, 4,458.38 and 998.22 is: 1,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.27 : 4,458.38 = 998.22 : x
  2. Step 2: Convert to fraction form
    2,973.27/4,458.38 = 998.22/x
  3. Step 3: Cross multiply
    2,973.27x = 4,458.38 × 998.22
  4. Step 4: Simplify right side
    2,973.27x = 4,450,439.09
  5. Step 5: Solve for x
    x = 4,450,439.09/2,973.27
  6. Step 6: Final answer
    x = 1,496.82

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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.