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Finding the Fourth Proportional to 3,266.74, 4,508.43 and 1,922.88

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Solution

The fourth proportional to 3,266.74, 4,508.43 and 1,922.88 is: 2,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.74 : 4,508.43 = 1,922.88 : x
  2. Step 2: Convert to fraction form
    3,266.74/4,508.43 = 1,922.88/x
  3. Step 3: Cross multiply
    3,266.74x = 4,508.43 × 1,922.88
  4. Step 4: Simplify right side
    3,266.74x = 8,669,147.34
  5. Step 5: Solve for x
    x = 8,669,147.34/3,266.74
  6. Step 6: Final answer
    x = 2,653.76

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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.