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Finding the Fourth Proportional to 2,993.97, 4,134.10 and 1,932.26

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Solution

The fourth proportional to 2,993.97, 4,134.10 and 1,932.26 is: 2,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.97 : 4,134.10 = 1,932.26 : x
  2. Step 2: Convert to fraction form
    2,993.97/4,134.10 = 1,932.26/x
  3. Step 3: Cross multiply
    2,993.97x = 4,134.10 × 1,932.26
  4. Step 4: Simplify right side
    2,993.97x = 7,988,125.73
  5. Step 5: Solve for x
    x = 7,988,125.73/2,993.97
  6. Step 6: Final answer
    x = 2,668.08

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1.5x scale

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.