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Finding the Fourth Proportional to 2,770.70, 3,823.55 and 1,722.75

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Solution

The fourth proportional to 2,770.70, 3,823.55 and 1,722.75 is: 2,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.70 : 3,823.55 = 1,722.75 : x
  2. Step 2: Convert to fraction form
    2,770.70/3,823.55 = 1,722.75/x
  3. Step 3: Cross multiply
    2,770.70x = 3,823.55 × 1,722.75
  4. Step 4: Simplify right side
    2,770.70x = 6,587,012.15
  5. Step 5: Solve for x
    x = 6,587,012.15/2,770.70
  6. Step 6: Final answer
    x = 2,377.39

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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.