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Finding the Fourth Proportional to 2,744.67, 4,116.74 and 895.44

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Solution

The fourth proportional to 2,744.67, 4,116.74 and 895.44 is: 1,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.67 : 4,116.74 = 895.44 : x
  2. Step 2: Convert to fraction form
    2,744.67/4,116.74 = 895.44/x
  3. Step 3: Cross multiply
    2,744.67x = 4,116.74 × 895.44
  4. Step 4: Simplify right side
    2,744.67x = 3,686,289.19
  5. Step 5: Solve for x
    x = 3,686,289.19/2,744.67
  6. Step 6: Final answer
    x = 1,343.07

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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.