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Finding the Fourth Proportional to 2,683.41, 4,002.83 and 2,638.86

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Solution

The fourth proportional to 2,683.41, 4,002.83 and 2,638.86 is: 3,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.41 : 4,002.83 = 2,638.86 : x
  2. Step 2: Convert to fraction form
    2,683.41/4,002.83 = 2,638.86/x
  3. Step 3: Cross multiply
    2,683.41x = 4,002.83 × 2,638.86
  4. Step 4: Simplify right side
    2,683.41x = 10,562,894.78
  5. Step 5: Solve for x
    x = 10,562,894.78/2,683.41
  6. Step 6: Final answer
    x = 3,936.37

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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.