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Finding the Fourth Proportional to 2,548.80, 3,826.44 and 2,002.86

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Solution

The fourth proportional to 2,548.80, 3,826.44 and 2,002.86 is: 3,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.80 : 3,826.44 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    2,548.80/3,826.44 = 2,002.86/x
  3. Step 3: Cross multiply
    2,548.80x = 3,826.44 × 2,002.86
  4. Step 4: Simplify right side
    2,548.80x = 7,663,823.62
  5. Step 5: Solve for x
    x = 7,663,823.62/2,548.80
  6. Step 6: Final answer
    x = 3,006.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.