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Finding the Fourth Proportional to 2,770.35, 3,822.56 and 1,651.39

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Solution

The fourth proportional to 2,770.35, 3,822.56 and 1,651.39 is: 2,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.35 : 3,822.56 = 1,651.39 : x
  2. Step 2: Convert to fraction form
    2,770.35/3,822.56 = 1,651.39/x
  3. Step 3: Cross multiply
    2,770.35x = 3,822.56 × 1,651.39
  4. Step 4: Simplify right side
    2,770.35x = 6,312,546.91
  5. Step 5: Solve for x
    x = 6,312,546.91/2,770.35
  6. Step 6: Final answer
    x = 2,278.61

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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.