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Finding the Fourth Proportional to 2,992.88, 4,129.92 and 1,666.56

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Solution

The fourth proportional to 2,992.88, 4,129.92 and 1,666.56 is: 2,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.88 : 4,129.92 = 1,666.56 : x
  2. Step 2: Convert to fraction form
    2,992.88/4,129.92 = 1,666.56/x
  3. Step 3: Cross multiply
    2,992.88x = 4,129.92 × 1,666.56
  4. Step 4: Simplify right side
    2,992.88x = 6,882,759.48
  5. Step 5: Solve for x
    x = 6,882,759.48/2,992.88
  6. Step 6: Final answer
    x = 2,299.71

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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.