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Finding the Fourth Proportional to 2,769.86, 3,820.56 and 2,209.34

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Solution

The fourth proportional to 2,769.86, 3,820.56 and 2,209.34 is: 3,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.86 : 3,820.56 = 2,209.34 : x
  2. Step 2: Convert to fraction form
    2,769.86/3,820.56 = 2,209.34/x
  3. Step 3: Cross multiply
    2,769.86x = 3,820.56 × 2,209.34
  4. Step 4: Simplify right side
    2,769.86x = 8,440,916.03
  5. Step 5: Solve for x
    x = 8,440,916.03/2,769.86
  6. Step 6: Final answer
    x = 3,047.42

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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.