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Finding the Fourth Proportional to 3,003.33, 4,144.68 and 1,677

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Solution

The fourth proportional to 3,003.33, 4,144.68 and 1,677 is: 2,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.33 : 4,144.68 = 1,677 : x
  2. Step 2: Convert to fraction form
    3,003.33/4,144.68 = 1,677/x
  3. Step 3: Cross multiply
    3,003.33x = 4,144.68 × 1,677
  4. Step 4: Simplify right side
    3,003.33x = 6,950,628.36
  5. Step 5: Solve for x
    x = 6,950,628.36/3,003.33
  6. Step 6: Final answer
    x = 2,314.31

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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.