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Finding the Fourth Proportional to 2,770.38, 3,814.97 and 2,475.54

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Solution

The fourth proportional to 2,770.38, 3,814.97 and 2,475.54 is: 3,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.38 : 3,814.97 = 2,475.54 : x
  2. Step 2: Convert to fraction form
    2,770.38/3,814.97 = 2,475.54/x
  3. Step 3: Cross multiply
    2,770.38x = 3,814.97 × 2,475.54
  4. Step 4: Simplify right side
    2,770.38x = 9,444,098.46
  5. Step 5: Solve for x
    x = 9,444,098.46/2,770.38
  6. Step 6: Final answer
    x = 3,408.95

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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.