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Finding the Fourth Proportional to 2,004.05, 2,764.38 and 1,295.65

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Solution

The fourth proportional to 2,004.05, 2,764.38 and 1,295.65 is: 1,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.05 : 2,764.38 = 1,295.65 : x
  2. Step 2: Convert to fraction form
    2,004.05/2,764.38 = 1,295.65/x
  3. Step 3: Cross multiply
    2,004.05x = 2,764.38 × 1,295.65
  4. Step 4: Simplify right side
    2,004.05x = 3,581,662.04
  5. Step 5: Solve for x
    x = 3,581,662.04/2,004.05
  6. Step 6: Final answer
    x = 1,787.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.