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Finding the Fourth Proportional to 3,243.71, 4,862.93 and 1,683.96

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Solution

The fourth proportional to 3,243.71, 4,862.93 and 1,683.96 is: 2,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.71 : 4,862.93 = 1,683.96 : x
  2. Step 2: Convert to fraction form
    3,243.71/4,862.93 = 1,683.96/x
  3. Step 3: Cross multiply
    3,243.71x = 4,862.93 × 1,683.96
  4. Step 4: Simplify right side
    3,243.71x = 8,188,971.18
  5. Step 5: Solve for x
    x = 8,188,971.18/3,243.71
  6. Step 6: Final answer
    x = 2,524.57

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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.