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Finding the Fourth Proportional to 3,231.68, 4,461.60 and 2,052.80

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Solution

The fourth proportional to 3,231.68, 4,461.60 and 2,052.80 is: 2,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.68 : 4,461.60 = 2,052.80 : x
  2. Step 2: Convert to fraction form
    3,231.68/4,461.60 = 2,052.80/x
  3. Step 3: Cross multiply
    3,231.68x = 4,461.60 × 2,052.80
  4. Step 4: Simplify right side
    3,231.68x = 9,158,772.48
  5. Step 5: Solve for x
    x = 9,158,772.48/3,231.68
  6. Step 6: Final answer
    x = 2,834.06

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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.