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Finding the Fourth Proportional to 2,389.92, 3,311.70 and 2,243.76

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Solution

The fourth proportional to 2,389.92, 3,311.70 and 2,243.76 is: 3,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.92 : 3,311.70 = 2,243.76 : x
  2. Step 2: Convert to fraction form
    2,389.92/3,311.70 = 2,243.76/x
  3. Step 3: Cross multiply
    2,389.92x = 3,311.70 × 2,243.76
  4. Step 4: Simplify right side
    2,389.92x = 7,430,659.99
  5. Step 5: Solve for x
    x = 7,430,659.99/2,389.92
  6. Step 6: Final answer
    x = 3,109.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.