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Finding the Fourth Proportional to 3,057.31, 4,219.46 and 1,731.00

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Solution

The fourth proportional to 3,057.31, 4,219.46 and 1,731.00 is: 2,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.31 : 4,219.46 = 1,731.00 : x
  2. Step 2: Convert to fraction form
    3,057.31/4,219.46 = 1,731.00/x
  3. Step 3: Cross multiply
    3,057.31x = 4,219.46 × 1,731.00
  4. Step 4: Simplify right side
    3,057.31x = 7,303,898.92
  5. Step 5: Solve for x
    x = 7,303,898.92/3,057.31
  6. Step 6: Final answer
    x = 2,388.99

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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.