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Finding the Fourth Proportional to 2,971.26, 4,453.92 and 1,022.22

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Solution

The fourth proportional to 2,971.26, 4,453.92 and 1,022.22 is: 1,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.26 : 4,453.92 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    2,971.26/4,453.92 = 1,022.22/x
  3. Step 3: Cross multiply
    2,971.26x = 4,453.92 × 1,022.22
  4. Step 4: Simplify right side
    2,971.26x = 4,552,886.10
  5. Step 5: Solve for x
    x = 4,552,886.10/2,971.26
  6. Step 6: Final answer
    x = 1,532.31

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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.