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Finding the Fourth Proportional to 2,535.75, 3,804.26 and 804.38

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Solution

The fourth proportional to 2,535.75, 3,804.26 and 804.38 is: 1,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.75 : 3,804.26 = 804.38 : x
  2. Step 2: Convert to fraction form
    2,535.75/3,804.26 = 804.38/x
  3. Step 3: Cross multiply
    2,535.75x = 3,804.26 × 804.38
  4. Step 4: Simplify right side
    2,535.75x = 3,060,047.62
  5. Step 5: Solve for x
    x = 3,060,047.62/2,535.75
  6. Step 6: Final answer
    x = 1,206.76

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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.