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Finding the Fourth Proportional to 3,057.37, 4,219.19 and 1,731.33

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Solution

The fourth proportional to 3,057.37, 4,219.19 and 1,731.33 is: 2,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.37 : 4,219.19 = 1,731.33 : x
  2. Step 2: Convert to fraction form
    3,057.37/4,219.19 = 1,731.33/x
  3. Step 3: Cross multiply
    3,057.37x = 4,219.19 × 1,731.33
  4. Step 4: Simplify right side
    3,057.37x = 7,304,810.22
  5. Step 5: Solve for x
    x = 7,304,810.22/3,057.37
  6. Step 6: Final answer
    x = 2,389.25

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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.