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Finding the Fourth Proportional to 2,744.42, 4,116.76 and 895.59

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Solution

The fourth proportional to 2,744.42, 4,116.76 and 895.59 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.42 : 4,116.76 = 895.59 : x
  2. Step 2: Convert to fraction form
    2,744.42/4,116.76 = 895.59/x
  3. Step 3: Cross multiply
    2,744.42x = 4,116.76 × 895.59
  4. Step 4: Simplify right side
    2,744.42x = 3,686,926.85
  5. Step 5: Solve for x
    x = 3,686,926.85/2,744.42
  6. Step 6: Final answer
    x = 1,343.43

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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.