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Finding the Fourth Proportional to 2,411.18, 3,616.74 and 850.82

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Solution

The fourth proportional to 2,411.18, 3,616.74 and 850.82 is: 1,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.18 : 3,616.74 = 850.82 : x
  2. Step 2: Convert to fraction form
    2,411.18/3,616.74 = 850.82/x
  3. Step 3: Cross multiply
    2,411.18x = 3,616.74 × 850.82
  4. Step 4: Simplify right side
    2,411.18x = 3,077,194.73
  5. Step 5: Solve for x
    x = 3,077,194.73/2,411.18
  6. Step 6: Final answer
    x = 1,276.22

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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.