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Finding the Fourth Proportional to 2,769.74, 3,822.66 and 1,722.14

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Solution

The fourth proportional to 2,769.74, 3,822.66 and 1,722.14 is: 2,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.74 : 3,822.66 = 1,722.14 : x
  2. Step 2: Convert to fraction form
    2,769.74/3,822.66 = 1,722.14/x
  3. Step 3: Cross multiply
    2,769.74x = 3,822.66 × 1,722.14
  4. Step 4: Simplify right side
    2,769.74x = 6,583,155.69
  5. Step 5: Solve for x
    x = 6,583,155.69/2,769.74
  6. Step 6: Final answer
    x = 2,376.81

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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.