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Finding the Fourth Proportional to 2,770.57, 3,823.23 and 1,591.65

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Solution

The fourth proportional to 2,770.57, 3,823.23 and 1,591.65 is: 2,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.57 : 3,823.23 = 1,591.65 : x
  2. Step 2: Convert to fraction form
    2,770.57/3,823.23 = 1,591.65/x
  3. Step 3: Cross multiply
    2,770.57x = 3,823.23 × 1,591.65
  4. Step 4: Simplify right side
    2,770.57x = 6,085,250.00
  5. Step 5: Solve for x
    x = 6,085,250.00/2,770.57
  6. Step 6: Final answer
    x = 2,196.39

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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.