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Finding the Fourth Proportional to 3,002.86, 4,144.09 and 2,008.54

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Solution

The fourth proportional to 3,002.86, 4,144.09 and 2,008.54 is: 2,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.86 : 4,144.09 = 2,008.54 : x
  2. Step 2: Convert to fraction form
    3,002.86/4,144.09 = 2,008.54/x
  3. Step 3: Cross multiply
    3,002.86x = 4,144.09 × 2,008.54
  4. Step 4: Simplify right side
    3,002.86x = 8,323,570.53
  5. Step 5: Solve for x
    x = 8,323,570.53/3,002.86
  6. Step 6: Final answer
    x = 2,771.88

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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.