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Finding the Fourth Proportional to 2,769.76, 3,823.50 and 1,722.52

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Solution

The fourth proportional to 2,769.76, 3,823.50 and 1,722.52 is: 2,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.76 : 3,823.50 = 1,722.52 : x
  2. Step 2: Convert to fraction form
    2,769.76/3,823.50 = 1,722.52/x
  3. Step 3: Cross multiply
    2,769.76x = 3,823.50 × 1,722.52
  4. Step 4: Simplify right side
    2,769.76x = 6,586,055.22
  5. Step 5: Solve for x
    x = 6,586,055.22/2,769.76
  6. Step 6: Final answer
    x = 2,377.84

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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.