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Finding the Fourth Proportional to 3,057.57, 4,219.43 and 1,731.56

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Solution

The fourth proportional to 3,057.57, 4,219.43 and 1,731.56 is: 2,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.57 : 4,219.43 = 1,731.56 : x
  2. Step 2: Convert to fraction form
    3,057.57/4,219.43 = 1,731.56/x
  3. Step 3: Cross multiply
    3,057.57x = 4,219.43 × 1,731.56
  4. Step 4: Simplify right side
    3,057.57x = 7,306,166.46
  5. Step 5: Solve for x
    x = 7,306,166.46/3,057.57
  6. Step 6: Final answer
    x = 2,389.53

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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.