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Finding the Fourth Proportional to 3,257.91, 4,496.48 and 1,932.07

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Solution

The fourth proportional to 3,257.91, 4,496.48 and 1,932.07 is: 2,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.91 : 4,496.48 = 1,932.07 : x
  2. Step 2: Convert to fraction form
    3,257.91/4,496.48 = 1,932.07/x
  3. Step 3: Cross multiply
    3,257.91x = 4,496.48 × 1,932.07
  4. Step 4: Simplify right side
    3,257.91x = 8,687,514.11
  5. Step 5: Solve for x
    x = 8,687,514.11/3,257.91
  6. Step 6: Final answer
    x = 2,666.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.