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Finding the Fourth Proportional to 2,744.22, 4,116.32 and 895.33

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Solution

The fourth proportional to 2,744.22, 4,116.32 and 895.33 is: 1,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.22 : 4,116.32 = 895.33 : x
  2. Step 2: Convert to fraction form
    2,744.22/4,116.32 = 895.33/x
  3. Step 3: Cross multiply
    2,744.22x = 4,116.32 × 895.33
  4. Step 4: Simplify right side
    2,744.22x = 3,685,457.23
  5. Step 5: Solve for x
    x = 3,685,457.23/2,744.22
  6. Step 6: Final answer
    x = 1,342.99

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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.