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Finding the Fourth Proportional to 1,659.05, 2,487.71 and 879.49

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Solution

The fourth proportional to 1,659.05, 2,487.71 and 879.49 is: 1,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.05 : 2,487.71 = 879.49 : x
  2. Step 2: Convert to fraction form
    1,659.05/2,487.71 = 879.49/x
  3. Step 3: Cross multiply
    1,659.05x = 2,487.71 × 879.49
  4. Step 4: Simplify right side
    1,659.05x = 2,187,921.38
  5. Step 5: Solve for x
    x = 2,187,921.38/1,659.05
  6. Step 6: Final answer
    x = 1,318.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.