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Finding the Fourth Proportional to 2,694.31, 4,033 and 1,703.71

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Solution

The fourth proportional to 2,694.31, 4,033 and 1,703.71 is: 2,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.31 : 4,033 = 1,703.71 : x
  2. Step 2: Convert to fraction form
    2,694.31/4,033 = 1,703.71/x
  3. Step 3: Cross multiply
    2,694.31x = 4,033 × 1,703.71
  4. Step 4: Simplify right side
    2,694.31x = 6,871,062.43
  5. Step 5: Solve for x
    x = 6,871,062.43/2,694.31
  6. Step 6: Final answer
    x = 2,550.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.