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Finding the Fourth Proportional to 2,809.56, 4,186.30 and 2,683.80

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Solution

The fourth proportional to 2,809.56, 4,186.30 and 2,683.80 is: 3,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.56 : 4,186.30 = 2,683.80 : x
  2. Step 2: Convert to fraction form
    2,809.56/4,186.30 = 2,683.80/x
  3. Step 3: Cross multiply
    2,809.56x = 4,186.30 × 2,683.80
  4. Step 4: Simplify right side
    2,809.56x = 11,235,191.94
  5. Step 5: Solve for x
    x = 11,235,191.94/2,809.56
  6. Step 6: Final answer
    x = 3,998.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.