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Finding the Fourth Proportional to 2,000.94, 2,995.94 and 1,350.38

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Solution

The fourth proportional to 2,000.94, 2,995.94 and 1,350.38 is: 2,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.94 : 2,995.94 = 1,350.38 : x
  2. Step 2: Convert to fraction form
    2,000.94/2,995.94 = 1,350.38/x
  3. Step 3: Cross multiply
    2,000.94x = 2,995.94 × 1,350.38
  4. Step 4: Simplify right side
    2,000.94x = 4,045,657.46
  5. Step 5: Solve for x
    x = 4,045,657.46/2,000.94
  6. Step 6: Final answer
    x = 2,021.88

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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.