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Finding the Fourth Proportional to 2,439.95, 3,660.51 and 796.50

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Solution

The fourth proportional to 2,439.95, 3,660.51 and 796.50 is: 1,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.95 : 3,660.51 = 796.50 : x
  2. Step 2: Convert to fraction form
    2,439.95/3,660.51 = 796.50/x
  3. Step 3: Cross multiply
    2,439.95x = 3,660.51 × 796.50
  4. Step 4: Simplify right side
    2,439.95x = 2,915,583.08
  5. Step 5: Solve for x
    x = 2,915,583.08/2,439.95
  6. Step 6: Final answer
    x = 1,194.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.