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Finding the Fourth Proportional to 1,516.87, 2,093.26 and 853.73

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Solution

The fourth proportional to 1,516.87, 2,093.26 and 853.73 is: 1,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.87 : 2,093.26 = 853.73 : x
  2. Step 2: Convert to fraction form
    1,516.87/2,093.26 = 853.73/x
  3. Step 3: Cross multiply
    1,516.87x = 2,093.26 × 853.73
  4. Step 4: Simplify right side
    1,516.87x = 1,787,078.86
  5. Step 5: Solve for x
    x = 1,787,078.86/1,516.87
  6. Step 6: Final answer
    x = 1,178.14

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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.