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Finding the Fourth Proportional to 2,543.49, 3,822.62 and 1,683.27

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Solution

The fourth proportional to 2,543.49, 3,822.62 and 1,683.27 is: 2,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.49 : 3,822.62 = 1,683.27 : x
  2. Step 2: Convert to fraction form
    2,543.49/3,822.62 = 1,683.27/x
  3. Step 3: Cross multiply
    2,543.49x = 3,822.62 × 1,683.27
  4. Step 4: Simplify right side
    2,543.49x = 6,434,493.15
  5. Step 5: Solve for x
    x = 6,434,493.15/2,543.49
  6. Step 6: Final answer
    x = 2,529.79

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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.