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Finding the Fourth Proportional to 2,770.50, 3,822.99 and 1,591.74

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Solution

The fourth proportional to 2,770.50, 3,822.99 and 1,591.74 is: 2,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.50 : 3,822.99 = 1,591.74 : x
  2. Step 2: Convert to fraction form
    2,770.50/3,822.99 = 1,591.74/x
  3. Step 3: Cross multiply
    2,770.50x = 3,822.99 × 1,591.74
  4. Step 4: Simplify right side
    2,770.50x = 6,085,206.10
  5. Step 5: Solve for x
    x = 6,085,206.10/2,770.50
  6. Step 6: Final answer
    x = 2,196.43

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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.