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Finding the Fourth Proportional to 2,999.82, 4,139.76 and 1,673.76

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Solution

The fourth proportional to 2,999.82, 4,139.76 and 1,673.76 is: 2,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.82 : 4,139.76 = 1,673.76 : x
  2. Step 2: Convert to fraction form
    2,999.82/4,139.76 = 1,673.76/x
  3. Step 3: Cross multiply
    2,999.82x = 4,139.76 × 1,673.76
  4. Step 4: Simplify right side
    2,999.82x = 6,928,964.70
  5. Step 5: Solve for x
    x = 6,928,964.70/2,999.82
  6. Step 6: Final answer
    x = 2,309.79

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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.