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Finding the Fourth Proportional to 1,516.27, 2,092.56 and 853.15

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Solution

The fourth proportional to 1,516.27, 2,092.56 and 853.15 is: 1,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.27 : 2,092.56 = 853.15 : x
  2. Step 2: Convert to fraction form
    1,516.27/2,092.56 = 853.15/x
  3. Step 3: Cross multiply
    1,516.27x = 2,092.56 × 853.15
  4. Step 4: Simplify right side
    1,516.27x = 1,785,267.56
  5. Step 5: Solve for x
    x = 1,785,267.56/1,516.27
  6. Step 6: Final answer
    x = 1,177.41

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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.