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Finding the Fourth Proportional to 2,232.39, 3,343.20 and 1,305.20

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Solution

The fourth proportional to 2,232.39, 3,343.20 and 1,305.20 is: 1,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.39 : 3,343.20 = 1,305.20 : x
  2. Step 2: Convert to fraction form
    2,232.39/3,343.20 = 1,305.20/x
  3. Step 3: Cross multiply
    2,232.39x = 3,343.20 × 1,305.20
  4. Step 4: Simplify right side
    2,232.39x = 4,363,527.92
  5. Step 5: Solve for x
    x = 4,363,527.92/2,232.39
  6. Step 6: Final answer
    x = 1,954.64

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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.