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Finding the Fourth Proportional to 3,001, 4,141.37 and 1,674.63

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Solution

The fourth proportional to 3,001, 4,141.37 and 1,674.63 is: 2,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001 : 4,141.37 = 1,674.63 : x
  2. Step 2: Convert to fraction form
    3,001/4,141.37 = 1,674.63/x
  3. Step 3: Cross multiply
    3,001x = 4,141.37 × 1,674.63
  4. Step 4: Simplify right side
    3,001x = 6,935,262.44
  5. Step 5: Solve for x
    x = 6,935,262.44/3,001
  6. Step 6: Final answer
    x = 2,310.98

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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.