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Finding the Fourth Proportional to 2,744.31, 4,116.68 and 895.29

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Solution

The fourth proportional to 2,744.31, 4,116.68 and 895.29 is: 1,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.31 : 4,116.68 = 895.29 : x
  2. Step 2: Convert to fraction form
    2,744.31/4,116.68 = 895.29/x
  3. Step 3: Cross multiply
    2,744.31x = 4,116.68 × 895.29
  4. Step 4: Simplify right side
    2,744.31x = 3,685,622.44
  5. Step 5: Solve for x
    x = 3,685,622.44/2,744.31
  6. Step 6: Final answer
    x = 1,343.01

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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.