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Finding the Fourth Proportional to 1,516.62, 2,092.99 and 853.49

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Solution

The fourth proportional to 1,516.62, 2,092.99 and 853.49 is: 1,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.62 : 2,092.99 = 853.49 : x
  2. Step 2: Convert to fraction form
    1,516.62/2,092.99 = 853.49/x
  3. Step 3: Cross multiply
    1,516.62x = 2,092.99 × 853.49
  4. Step 4: Simplify right side
    1,516.62x = 1,786,338.96
  5. Step 5: Solve for x
    x = 1,786,338.96/1,516.62
  6. Step 6: Final answer
    x = 1,177.84

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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.