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Finding the Fourth Proportional to 3,083.62, 4,254.38 and 1,739.07

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Solution

The fourth proportional to 3,083.62, 4,254.38 and 1,739.07 is: 2,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.62 : 4,254.38 = 1,739.07 : x
  2. Step 2: Convert to fraction form
    3,083.62/4,254.38 = 1,739.07/x
  3. Step 3: Cross multiply
    3,083.62x = 4,254.38 × 1,739.07
  4. Step 4: Simplify right side
    3,083.62x = 7,398,639.01
  5. Step 5: Solve for x
    x = 7,398,639.01/3,083.62
  6. Step 6: Final answer
    x = 2,399.33

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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.