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Finding the Fourth Proportional to 2,770.19, 3,822.96 and 1,722.86

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Solution

The fourth proportional to 2,770.19, 3,822.96 and 1,722.86 is: 2,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.19 : 3,822.96 = 1,722.86 : x
  2. Step 2: Convert to fraction form
    2,770.19/3,822.96 = 1,722.86/x
  3. Step 3: Cross multiply
    2,770.19x = 3,822.96 × 1,722.86
  4. Step 4: Simplify right side
    2,770.19x = 6,586,424.87
  5. Step 5: Solve for x
    x = 6,586,424.87/2,770.19
  6. Step 6: Final answer
    x = 2,377.61

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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.