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Finding the Fourth Proportional to 2,744.48, 4,116.26 and 895.19

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Solution

The fourth proportional to 2,744.48, 4,116.26 and 895.19 is: 1,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.48 : 4,116.26 = 895.19 : x
  2. Step 2: Convert to fraction form
    2,744.48/4,116.26 = 895.19/x
  3. Step 3: Cross multiply
    2,744.48x = 4,116.26 × 895.19
  4. Step 4: Simplify right side
    2,744.48x = 3,684,809.73
  5. Step 5: Solve for x
    x = 3,684,809.73/2,744.48
  6. Step 6: Final answer
    x = 1,342.63

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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.