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Finding the Fourth Proportional to 3,243.76, 4,861.98 and 1,293.70

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Solution

The fourth proportional to 3,243.76, 4,861.98 and 1,293.70 is: 1,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.76 : 4,861.98 = 1,293.70 : x
  2. Step 2: Convert to fraction form
    3,243.76/4,861.98 = 1,293.70/x
  3. Step 3: Cross multiply
    3,243.76x = 4,861.98 × 1,293.70
  4. Step 4: Simplify right side
    3,243.76x = 6,289,943.53
  5. Step 5: Solve for x
    x = 6,289,943.53/3,243.76
  6. Step 6: Final answer
    x = 1,939.09

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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.