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Finding the Fourth Proportional to 1,243.27, 1,861.30 and 936.41

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Solution

The fourth proportional to 1,243.27, 1,861.30 and 936.41 is: 1,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.27 : 1,861.30 = 936.41 : x
  2. Step 2: Convert to fraction form
    1,243.27/1,861.30 = 936.41/x
  3. Step 3: Cross multiply
    1,243.27x = 1,861.30 × 936.41
  4. Step 4: Simplify right side
    1,243.27x = 1,742,945.76
  5. Step 5: Solve for x
    x = 1,742,945.76/1,243.27
  6. Step 6: Final answer
    x = 1,401.91

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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.