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Finding the Fourth Proportional to 3,289.64, 4,936.50 and 1,341.84

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Solution

The fourth proportional to 3,289.64, 4,936.50 and 1,341.84 is: 2,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.64 : 4,936.50 = 1,341.84 : x
  2. Step 2: Convert to fraction form
    3,289.64/4,936.50 = 1,341.84/x
  3. Step 3: Cross multiply
    3,289.64x = 4,936.50 × 1,341.84
  4. Step 4: Simplify right side
    3,289.64x = 6,623,993.16
  5. Step 5: Solve for x
    x = 6,623,993.16/3,289.64
  6. Step 6: Final answer
    x = 2,013.59

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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.