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Finding the Fourth Proportional to 2,770.26, 3,823.05 and 1,651.38

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Solution

The fourth proportional to 2,770.26, 3,823.05 and 1,651.38 is: 2,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.26 : 3,823.05 = 1,651.38 : x
  2. Step 2: Convert to fraction form
    2,770.26/3,823.05 = 1,651.38/x
  3. Step 3: Cross multiply
    2,770.26x = 3,823.05 × 1,651.38
  4. Step 4: Simplify right side
    2,770.26x = 6,313,308.31
  5. Step 5: Solve for x
    x = 6,313,308.31/2,770.26
  6. Step 6: Final answer
    x = 2,278.96

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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.