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Finding the Fourth Proportional to 2,389.28, 3,581.22 and 1,216.81

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Solution

The fourth proportional to 2,389.28, 3,581.22 and 1,216.81 is: 1,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.28 : 3,581.22 = 1,216.81 : x
  2. Step 2: Convert to fraction form
    2,389.28/3,581.22 = 1,216.81/x
  3. Step 3: Cross multiply
    2,389.28x = 3,581.22 × 1,216.81
  4. Step 4: Simplify right side
    2,389.28x = 4,357,659.85
  5. Step 5: Solve for x
    x = 4,357,659.85/2,389.28
  6. Step 6: Final answer
    x = 1,823.84

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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.