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Finding the Fourth Proportional to 3,003.69, 4,144.38 and 1,744.00

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Solution

The fourth proportional to 3,003.69, 4,144.38 and 1,744.00 is: 2,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.69 : 4,144.38 = 1,744.00 : x
  2. Step 2: Convert to fraction form
    3,003.69/4,144.38 = 1,744.00/x
  3. Step 3: Cross multiply
    3,003.69x = 4,144.38 × 1,744.00
  4. Step 4: Simplify right side
    3,003.69x = 7,227,787.26
  5. Step 5: Solve for x
    x = 7,227,787.26/3,003.69
  6. Step 6: Final answer
    x = 2,406.30

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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.