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Finding the Fourth Proportional to 2,744.45, 4,116.71 and 895.55

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Solution

The fourth proportional to 2,744.45, 4,116.71 and 895.55 is: 1,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.45 : 4,116.71 = 895.55 : x
  2. Step 2: Convert to fraction form
    2,744.45/4,116.71 = 895.55/x
  3. Step 3: Cross multiply
    2,744.45x = 4,116.71 × 895.55
  4. Step 4: Simplify right side
    2,744.45x = 3,686,694.58
  5. Step 5: Solve for x
    x = 3,686,694.58/2,744.45
  6. Step 6: Final answer
    x = 1,343.33

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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.