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Finding the Fourth Proportional to 2,744.22, 4,116.92 and 895.29

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Solution

The fourth proportional to 2,744.22, 4,116.92 and 895.29 is: 1,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.22 : 4,116.92 = 895.29 : x
  2. Step 2: Convert to fraction form
    2,744.22/4,116.92 = 895.29/x
  3. Step 3: Cross multiply
    2,744.22x = 4,116.92 × 895.29
  4. Step 4: Simplify right side
    2,744.22x = 3,685,837.31
  5. Step 5: Solve for x
    x = 3,685,837.31/2,744.22
  6. Step 6: Final answer
    x = 1,343.13

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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.