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Finding the Fourth Proportional to 3,231.80, 4,459.80 and 1,834.52

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Solution

The fourth proportional to 3,231.80, 4,459.80 and 1,834.52 is: 2,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.80 : 4,459.80 = 1,834.52 : x
  2. Step 2: Convert to fraction form
    3,231.80/4,459.80 = 1,834.52/x
  3. Step 3: Cross multiply
    3,231.80x = 4,459.80 × 1,834.52
  4. Step 4: Simplify right side
    3,231.80x = 8,181,592.30
  5. Step 5: Solve for x
    x = 8,181,592.30/3,231.80
  6. Step 6: Final answer
    x = 2,531.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.