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Finding the Fourth Proportional to 3,232.84, 4,850.40 and 1,589.20

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Solution

The fourth proportional to 3,232.84, 4,850.40 and 1,589.20 is: 2,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.84 : 4,850.40 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    3,232.84/4,850.40 = 1,589.20/x
  3. Step 3: Cross multiply
    3,232.84x = 4,850.40 × 1,589.20
  4. Step 4: Simplify right side
    3,232.84x = 7,708,255.68
  5. Step 5: Solve for x
    x = 7,708,255.68/3,232.84
  6. Step 6: Final answer
    x = 2,384.36

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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.