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Finding the Fourth Proportional to 2,516.82, 3,774.10 and 1,346.62

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Solution

The fourth proportional to 2,516.82, 3,774.10 and 1,346.62 is: 2,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.82 : 3,774.10 = 1,346.62 : x
  2. Step 2: Convert to fraction form
    2,516.82/3,774.10 = 1,346.62/x
  3. Step 3: Cross multiply
    2,516.82x = 3,774.10 × 1,346.62
  4. Step 4: Simplify right side
    2,516.82x = 5,082,278.54
  5. Step 5: Solve for x
    x = 5,082,278.54/2,516.82
  6. Step 6: Final answer
    x = 2,019.33

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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.