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Finding the Fourth Proportional to 3,204.22, 4,805.69 and 895.74

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Solution

The fourth proportional to 3,204.22, 4,805.69 and 895.74 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.22 : 4,805.69 = 895.74 : x
  2. Step 2: Convert to fraction form
    3,204.22/4,805.69 = 895.74/x
  3. Step 3: Cross multiply
    3,204.22x = 4,805.69 × 895.74
  4. Step 4: Simplify right side
    3,204.22x = 4,304,648.76
  5. Step 5: Solve for x
    x = 4,304,648.76/3,204.22
  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.