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Finding the Fourth Proportional to 3,122.38, 4,309.36 and 1,796.00

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Solution

The fourth proportional to 3,122.38, 4,309.36 and 1,796.00 is: 2,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.38 : 4,309.36 = 1,796.00 : x
  2. Step 2: Convert to fraction form
    3,122.38/4,309.36 = 1,796.00/x
  3. Step 3: Cross multiply
    3,122.38x = 4,309.36 × 1,796.00
  4. Step 4: Simplify right side
    3,122.38x = 7,739,597.91
  5. Step 5: Solve for x
    x = 7,739,597.91/3,122.38
  6. Step 6: Final answer
    x = 2,478.75

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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.