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Finding the Fourth Proportional to 2,548.86, 3,806.03 and 2,022.96

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Solution

The fourth proportional to 2,548.86, 3,806.03 and 2,022.96 is: 3,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.86 : 3,806.03 = 2,022.96 : x
  2. Step 2: Convert to fraction form
    2,548.86/3,806.03 = 2,022.96/x
  3. Step 3: Cross multiply
    2,548.86x = 3,806.03 × 2,022.96
  4. Step 4: Simplify right side
    2,548.86x = 7,699,446.45
  5. Step 5: Solve for x
    x = 7,699,446.45/2,548.86
  6. Step 6: Final answer
    x = 3,020.74

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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.