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Finding the Fourth Proportional to 2,683.18, 3,683.03 and 2,381.86

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Solution

The fourth proportional to 2,683.18, 3,683.03 and 2,381.86 is: 3,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.18 : 3,683.03 = 2,381.86 : x
  2. Step 2: Convert to fraction form
    2,683.18/3,683.03 = 2,381.86/x
  3. Step 3: Cross multiply
    2,683.18x = 3,683.03 × 2,381.86
  4. Step 4: Simplify right side
    2,683.18x = 8,772,463.05
  5. Step 5: Solve for x
    x = 8,772,463.05/2,683.18
  6. Step 6: Final answer
    x = 3,269.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.