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Finding the Fourth Proportional to 3,057.56, 4,219.52 and 1,731.23

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Solution

The fourth proportional to 3,057.56, 4,219.52 and 1,731.23 is: 2,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.56 : 4,219.52 = 1,731.23 : x
  2. Step 2: Convert to fraction form
    3,057.56/4,219.52 = 1,731.23/x
  3. Step 3: Cross multiply
    3,057.56x = 4,219.52 × 1,731.23
  4. Step 4: Simplify right side
    3,057.56x = 7,304,938.51
  5. Step 5: Solve for x
    x = 7,304,938.51/3,057.56
  6. Step 6: Final answer
    x = 2,389.14

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Why These Related Problems?

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