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Finding the Fourth Proportional to 2,633, 3,951.64 and 1,334.84

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Solution

The fourth proportional to 2,633, 3,951.64 and 1,334.84 is: 2,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633 : 3,951.64 = 1,334.84 : x
  2. Step 2: Convert to fraction form
    2,633/3,951.64 = 1,334.84/x
  3. Step 3: Cross multiply
    2,633x = 3,951.64 × 1,334.84
  4. Step 4: Simplify right side
    2,633x = 5,274,807.14
  5. Step 5: Solve for x
    x = 5,274,807.14/2,633
  6. Step 6: Final answer
    x = 2,003.34

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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.