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Finding the Fourth Proportional to 1,516.96, 2,093.31 and 853.91

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Solution

The fourth proportional to 1,516.96, 2,093.31 and 853.91 is: 1,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.96 : 2,093.31 = 853.91 : x
  2. Step 2: Convert to fraction form
    1,516.96/2,093.31 = 853.91/x
  3. Step 3: Cross multiply
    1,516.96x = 2,093.31 × 853.91
  4. Step 4: Simplify right side
    1,516.96x = 1,787,495.73
  5. Step 5: Solve for x
    x = 1,787,495.73/1,516.96
  6. Step 6: Final answer
    x = 1,178.34

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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.