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Finding the Fourth Proportional to 2,770.62, 3,822.61 and 1,575.52

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Solution

The fourth proportional to 2,770.62, 3,822.61 and 1,575.52 is: 2,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.62 : 3,822.61 = 1,575.52 : x
  2. Step 2: Convert to fraction form
    2,770.62/3,822.61 = 1,575.52/x
  3. Step 3: Cross multiply
    2,770.62x = 3,822.61 × 1,575.52
  4. Step 4: Simplify right side
    2,770.62x = 6,022,579.39
  5. Step 5: Solve for x
    x = 6,022,579.39/2,770.62
  6. Step 6: Final answer
    x = 2,173.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.