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Finding the Fourth Proportional to 3,330, 4,995.41 and 1,381.14

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Solution

The fourth proportional to 3,330, 4,995.41 and 1,381.14 is: 2,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330 : 4,995.41 = 1,381.14 : x
  2. Step 2: Convert to fraction form
    3,330/4,995.41 = 1,381.14/x
  3. Step 3: Cross multiply
    3,330x = 4,995.41 × 1,381.14
  4. Step 4: Simplify right side
    3,330x = 6,899,353.66
  5. Step 5: Solve for x
    x = 6,899,353.66/3,330
  6. Step 6: Final answer
    x = 2,071.88

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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.