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Finding the Fourth Proportional to 2,004.94, 3,001.94 and 1,354.38

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Solution

The fourth proportional to 2,004.94, 3,001.94 and 1,354.38 is: 2,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.94 : 3,001.94 = 1,354.38 : x
  2. Step 2: Convert to fraction form
    2,004.94/3,001.94 = 1,354.38/x
  3. Step 3: Cross multiply
    2,004.94x = 3,001.94 × 1,354.38
  4. Step 4: Simplify right side
    2,004.94x = 4,065,767.50
  5. Step 5: Solve for x
    x = 4,065,767.50/2,004.94
  6. Step 6: Final answer
    x = 2,027.87

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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.