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Finding the Fourth Proportional to 2,933, 4,046.94 and 1,988.96

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Solution

The fourth proportional to 2,933, 4,046.94 and 1,988.96 is: 2,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933 : 4,046.94 = 1,988.96 : x
  2. Step 2: Convert to fraction form
    2,933/4,046.94 = 1,988.96/x
  3. Step 3: Cross multiply
    2,933x = 4,046.94 × 1,988.96
  4. Step 4: Simplify right side
    2,933x = 8,049,201.78
  5. Step 5: Solve for x
    x = 8,049,201.78/2,933
  6. Step 6: Final answer
    x = 2,744.36

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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.