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Finding the Fourth Proportional to 2,764.72, 4,145.02 and 1,204.43

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Solution

The fourth proportional to 2,764.72, 4,145.02 and 1,204.43 is: 1,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.72 : 4,145.02 = 1,204.43 : x
  2. Step 2: Convert to fraction form
    2,764.72/4,145.02 = 1,204.43/x
  3. Step 3: Cross multiply
    2,764.72x = 4,145.02 × 1,204.43
  4. Step 4: Simplify right side
    2,764.72x = 4,992,362.70
  5. Step 5: Solve for x
    x = 4,992,362.70/2,764.72
  6. Step 6: Final answer
    x = 1,805.74

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