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Finding the Fourth Proportional to 2,364.54, 3,546.81 and 633.21

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Solution

The fourth proportional to 2,364.54, 3,546.81 and 633.21 is: 949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.54 : 3,546.81 = 633.21 : x
  2. Step 2: Convert to fraction form
    2,364.54/3,546.81 = 633.21/x
  3. Step 3: Cross multiply
    2,364.54x = 3,546.81 × 633.21
  4. Step 4: Simplify right side
    2,364.54x = 2,245,875.56
  5. Step 5: Solve for x
    x = 2,245,875.56/2,364.54
  6. Step 6: Final answer
    x = 949.82

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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.