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Finding the Fourth Proportional to 3,243.70, 4,860.96 and 1,293.76

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Solution

The fourth proportional to 3,243.70, 4,860.96 and 1,293.76 is: 1,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.70 : 4,860.96 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    3,243.70/4,860.96 = 1,293.76/x
  3. Step 3: Cross multiply
    3,243.70x = 4,860.96 × 1,293.76
  4. Step 4: Simplify right side
    3,243.70x = 6,288,915.61
  5. Step 5: Solve for x
    x = 6,288,915.61/3,243.70
  6. Step 6: Final answer
    x = 1,938.81

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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.