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Finding the Fourth Proportional to 3,057.80, 4,219.84 and 1,731.44

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Solution

The fourth proportional to 3,057.80, 4,219.84 and 1,731.44 is: 2,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.80 : 4,219.84 = 1,731.44 : x
  2. Step 2: Convert to fraction form
    3,057.80/4,219.84 = 1,731.44/x
  3. Step 3: Cross multiply
    3,057.80x = 4,219.84 × 1,731.44
  4. Step 4: Simplify right side
    3,057.80x = 7,306,399.77
  5. Step 5: Solve for x
    x = 7,306,399.77/3,057.80
  6. Step 6: Final answer
    x = 2,389.43

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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.