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Finding the Fourth Proportional to 2,414.27, 3,621.71 and 853.95

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Solution

The fourth proportional to 2,414.27, 3,621.71 and 853.95 is: 1,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.27 : 3,621.71 = 853.95 : x
  2. Step 2: Convert to fraction form
    2,414.27/3,621.71 = 853.95/x
  3. Step 3: Cross multiply
    2,414.27x = 3,621.71 × 853.95
  4. Step 4: Simplify right side
    2,414.27x = 3,092,759.25
  5. Step 5: Solve for x
    x = 3,092,759.25/2,414.27
  6. Step 6: Final answer
    x = 1,281.03

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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.